Pith Number

pith:4FGTGMIQ

pith:2026:4FGTGMIQQS2DGBO6FROVDL3SLO

not attested not anchored not stored refs pending

The Conclave Process

Guanyi Chen, Itai Benjamini, Shuyang Gong, Zhangsong Li, Zhenhao Cai

arxiv:2607.22324 v1 · 2026-07-24 · 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{4FGTGMIQQS2DGBO6FROVDL3SLO}

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	2026-07-27T01:21:02.893330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e14d33311084b43305de2c5d51af725b8f30ce49d74398d478b9a14961d2dee0

Aliases

arxiv: 2607.22324 · arxiv_version: 2607.22324v1 · doi: 10.48550/arxiv.2607.22324 · pith_short_12: 4FGTGMIQQS2D · pith_short_16: 4FGTGMIQQS2DGBO6 · pith_short_8: 4FGTGMIQ

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/4FGTGMIQQS2DGBO6FROVDL3SLO \
  | 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: e14d33311084b43305de2c5d51af725b8f30ce49d74398d478b9a14961d2dee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e342b1b1d4d4d820ec12fde4e3dfa84281a99d0da92fa5a04e7f4764f308a62d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-24T14:03:14Z",
    "title_canon_sha256": "33541d9c9be885b75b0e55b9bc7c40196fd1d55352f7ec25c3923c0e9f8c6456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22324",
    "kind": "arxiv",
    "version": 1
  }
}