Pith Number

pith:U2LBWSNC

pith:2026:U2LBWSNCZCL67SRQELHVXT6XA6

not attested not anchored not stored refs pending

Linked Fates: How Small of an Ambiguity Increase Can Make the Difference Between Equaling and Separating from P?

Benjamin Carleton, Conor Taliancich, David E. Narv\'aez, Lane A. Hemaspaandra, Melissa Welsh, Michael C. Chavrimootoo

arxiv:2606.20399 v1 · 2026-06-18 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2LBWSNCZCL67SRQELHVXT6XA6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-06-19T16:13:11.598516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6961b49a2c897efca3022cf5bcfd7078788481fc11a791ade40a1019cc47571

Aliases

arxiv: 2606.20399 · arxiv_version: 2606.20399v1 · doi: 10.48550/arxiv.2606.20399 · pith_short_12: U2LBWSNCZCL6 · pith_short_16: U2LBWSNCZCL67SRQ · pith_short_8: U2LBWSNC

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/U2LBWSNCZCL67SRQELHVXT6XA6 \
  | 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: a6961b49a2c897efca3022cf5bcfd7078788481fc11a791ade40a1019cc47571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a5b2763453065f80c78e5526c82f4fbd9a9403356c60c6e53865887ee3ac04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-18T15:52:47Z",
    "title_canon_sha256": "21d47990b6dda48ba92f5e9481833a2df494ad3e33f5165ce558638c75c4c61b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20399",
    "kind": "arxiv",
    "version": 1
  }
}