Pith Number

pith:G32CQ6FN

pith:2025:G32CQ6FNGLKXDW5N4GBG5E62V3

not attested not anchored not stored refs pending

The random graph process is globally synchronizing

Clayton Mizgerd, Mehtaab Sawhney, Vishesh Jain

arxiv:2501.12205 v1 · 2025-01-21 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G32CQ6FNGLKXDW5N4GBG5E62V3}

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	2026-07-05T10:03:32.899181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f42878ad32d571dbade1826e93daaed9f9801712bce7c46fa65729236397c6

Aliases

arxiv: 2501.12205 · arxiv_version: 2501.12205v1 · doi: 10.48550/arxiv.2501.12205 · pith_short_12: G32CQ6FNGLKX · pith_short_16: G32CQ6FNGLKXDW5N · pith_short_8: G32CQ6FN

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/G32CQ6FNGLKXDW5N4GBG5E62V3 \
  | 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: 36f42878ad32d571dbade1826e93daaed9f9801712bce7c46fa65729236397c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd62813393a367bae73525605ba0eeaaf0270d62c9f2e2135e2b606912d10932",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-21T15:20:29Z",
    "title_canon_sha256": "2bf271b61b94cac76d8a1bd1ec0a87db9d3687924e5fb492aee818043ff7d482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12205",
    "kind": "arxiv",
    "version": 1
  }
}