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Pith Number

pith:VPNC3UNK

pith:2026:VPNC3UNK6WMKTA4VOHV6DEFIXG
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Temporary Power Adjusting Withholding Attack

Mustafa Doger, Sennur Ulukus

Temporary withholding in pool attacks yields unbounded extra rewards over permanent withholding as attacker size shrinks.

arxiv:2604.14135 v2 · 2026-04-15 · cs.CR · cs.DC · cs.IT · math.IT · math.PR

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\usepackage{pith}
\pithnumber{VPNC3UNK6WMKTA4VOHV6DEFIXG}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

the extra reward of T-PAW compared to PAW improves by an unbounded factor as adversarial hash fraction α, pool size β and adversarial network influence γ decreases. For example, the extra reward of T-PAW is 22 times that of PAW when an adversary targets a pool with (α,β,γ)=(0.05,0.05,0).

C2weakest assumption

The modeling assumes rational miners optimize over a specific reward function with parameters α, β, γ and a fixed T, without accounting for real-world detection, retaliation, or pool countermeasures that could eliminate the advantage.

C3one line summary

T-PAW generalizes PAW by limiting withholding to at most T time units, producing unboundedly higher extra rewards than PAW as adversary hash fraction, pool size, and network influence decrease, while making honest mining sub-optimal with non-trivial gains.

Receipt and verification
First computed 2026-05-20T01:05:13.338842Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

abda2dd1aaf598a9839571ebe190a8b99df66fc1f5daf453ad3c39eebe35a422

Aliases

arxiv: 2604.14135 · arxiv_version: 2604.14135v2 · doi: 10.48550/arxiv.2604.14135 · pith_short_12: VPNC3UNK6WMK · pith_short_16: VPNC3UNK6WMKTA4V · pith_short_8: VPNC3UNK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VPNC3UNK6WMKTA4VOHV6DEFIXG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: abda2dd1aaf598a9839571ebe190a8b99df66fc1f5daf453ad3c39eebe35a422
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2bf8e8365ecd85d699d23a5d4cf40417f8c1f9d192cdcf738e6e73dfea9a6a89",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2026-04-15T17:55:56Z",
    "title_canon_sha256": "a14a7e4c55d762756329c0c3d59750cea964ddd26f308b52a348e2000df0ae37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14135",
    "kind": "arxiv",
    "version": 2
  }
}