Pith Number

pith:765Q7F3O

pith:2025:765Q7F3OTZS4G7KLQDI44A2YYH

not attested not anchored not stored refs pending

The generalized trifference problem

Anurag Bishnoi, Bart{\l}omiej Kielak, Benedek Kov\'acs, G\'abor Somlai, M\'at\'e Vizer, Zeyu Zheng, Zolt\'an L\'or\'ant Nagy

arxiv:2505.07706 v1 · 2025-05-12 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{765Q7F3OTZS4G7KLQDI44A2YYH}

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	2026-07-05T11:01:52.058986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffbb0f976e9e65c37d4b80d1ce0358c1ec174c5650310712cf13964123bad405

Aliases

arxiv: 2505.07706 · arxiv_version: 2505.07706v1 · doi: 10.48550/arxiv.2505.07706 · pith_short_12: 765Q7F3OTZS4 · pith_short_16: 765Q7F3OTZS4G7KL · pith_short_8: 765Q7F3O

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/765Q7F3OTZS4G7KLQDI44A2YYH \
  | 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: ffbb0f976e9e65c37d4b80d1ce0358c1ec174c5650310712cf13964123bad405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ff520437c0d3b4ceb690e1798597b0ef57989849d875b75dce8892647e7a19",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-12T16:14:09Z",
    "title_canon_sha256": "821f9f4d49ce5ee48cba537dd9f3363d0a51e4b8bbfee0852b5b37f5e479604c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07706",
    "kind": "arxiv",
    "version": 1
  }
}