Pith Number

pith:E3Z7M6Q7

pith:2026:E3Z7M6Q7P4KOB2WUEWPDZAPTAN

not attested not anchored not stored refs pending

Dynamic-Threshold Algorithms for the Continuous Quadratic Knapsack Problem: Reset Mechanisms and Complexity

Chuan Yang, Peicheng Xie, Yong-jin Liu

arxiv:2608.00740 v1 · 2026-08-01 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3Z7M6Q7P4KOB2WUEWPDZAPTAN}

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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.

Receipt and verification

First computed	2026-08-04T01:54:51.230035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f3f67a1f7f14e0ead4259e3c81f30355482ba39b332b771d0f3eb9636087a5

Aliases

arxiv: 2608.00740 · arxiv_version: 2608.00740v1 · doi: 10.48550/arxiv.2608.00740 · pith_short_12: E3Z7M6Q7P4KO · pith_short_16: E3Z7M6Q7P4KOB2WU · pith_short_8: E3Z7M6Q7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/E3Z7M6Q7P4KOB2WUEWPDZAPTAN \
  | 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: 26f3f67a1f7f14e0ead4259e3c81f30355482ba39b332b771d0f3eb9636087a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c80745d5814612820a3171b10a439a3606e265c62ccdc0ea0f29c5e0cf66f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-01T16:22:57Z",
    "title_canon_sha256": "99ee74225e23b6b059bb5823ddafcd65dac88c9326eee9bad78de2ef4a4242e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00740",
    "kind": "arxiv",
    "version": 1
  }
}