Pith Number

pith:TE3AYDUV

pith:2016:TE3AYDUVBVIACVGBGLKFP3WO54

not attested not anchored not stored refs pending

On the Potts antiferromagnet on random graphs

Amin Coja-Oghlan, Nor Jaafari

arxiv:1603.00081 v1 · 2016-02-29 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TE3AYDUVBVIACVGBGLKFP3WO54}

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	2026-05-18T00:29:52.239885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99360c0e950d500154c132d457eeceef2dcb903eac8a4c39fafd546259d271d5

Aliases

arxiv: 1603.00081 · arxiv_version: 1603.00081v1 · doi: 10.48550/arxiv.1603.00081 · pith_short_12: TE3AYDUVBVIA · pith_short_16: TE3AYDUVBVIACVGB · pith_short_8: TE3AYDUV

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/TE3AYDUVBVIACVGBGLKFP3WO54 \
  | 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: 99360c0e950d500154c132d457eeceef2dcb903eac8a4c39fafd546259d271d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce386113c07270e1d05c735bdfe8618966fe378c865785aac0af286c1a088559",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-29T22:45:01Z",
    "title_canon_sha256": "a8be2034fccde3d612d2b756603a341ed577eb4ff79639e917c476535145b72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00081",
    "kind": "arxiv",
    "version": 1
  }
}