Pith Number

pith:QHNGB3VG

pith:2025:QHNGB3VG77MXKKCDHLTOWN7IFE

not attested not anchored not stored refs pending

Separating dots with circles

Greg Muller, Jaewon Min, James Beyer

arxiv:2505.22851 v1 · 2025-05-28 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHNGB3VG77MXKKCDHLTOWN7IFE}

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	2026-07-05T11:11:50.858357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81da60eea6ffd97528433ae6eb37e82936273f97b5175a6849e988a146bdb4a0

Aliases

arxiv: 2505.22851 · arxiv_version: 2505.22851v1 · doi: 10.48550/arxiv.2505.22851 · pith_short_12: QHNGB3VG77MX · pith_short_16: QHNGB3VG77MXKKCD · pith_short_8: QHNGB3VG

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/QHNGB3VG77MXKKCDHLTOWN7IFE \
  | 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: 81da60eea6ffd97528433ae6eb37e82936273f97b5175a6849e988a146bdb4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24177dacb4fc007023d186801a25009966beafc08c9d83161e381639c85141f9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-28T20:34:56Z",
    "title_canon_sha256": "f50ffb3e6def86293d7f269551ed3410e000a7e4c315ea23990b2bd52355c8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22851",
    "kind": "arxiv",
    "version": 1
  }
}