Pith Number

pith:YG5JM7JK

pith:2026:YG5JM7JK3QYVH5HT3BYJB7KZAN

not attested not anchored not stored refs pending

The Facial Common Neighbourhood Graph

Riccardo W. Maffucci

arxiv:2605.16224 v1 · 2026-05-15 · 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{YG5JM7JK3QYVH5HT3BYJB7KZAN}

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	2026-05-20T00:01:58.903456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ba967d2adc3153f4f3d87090fd590354ff7f72ddae11f9e96256f0ac3d5a4a

Aliases

arxiv: 2605.16224 · arxiv_version: 2605.16224v1 · doi: 10.48550/arxiv.2605.16224 · pith_short_12: YG5JM7JK3QYV · pith_short_16: YG5JM7JK3QYVH5HT · pith_short_8: YG5JM7JK

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/YG5JM7JK3QYVH5HT3BYJB7KZAN \
  | 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: c1ba967d2adc3153f4f3d87090fd590354ff7f72ddae11f9e96256f0ac3d5a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19929ed36bb00d4ab0319be2e4e9fc49b098e567c9cd184031a213ecba28d34f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-15T17:35:45Z",
    "title_canon_sha256": "d6229366090147172ead43c44f7ab73f86eaee14861b19da299f5135b2fa307f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16224",
    "kind": "arxiv",
    "version": 1
  }
}