Pith Number

pith:CA3WFTV2

pith:2025:CA3WFTV2N2ZFUKZ44BRRMMBAX4

not attested not anchored not stored refs pending

The incidence matrix of a $q$-ary graph

Michela Ceria, Relinde Jurrius

arxiv:2508.19964 v2 · 2025-08-27 · 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{CA3WFTV2N2ZFUKZ44BRRMMBAX4}

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	2026-05-26T01:03:14.849871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103762ceba6eb25a2b3ce063163020bf10eb29cbeb47d6eb46a7bfdb8b6fa78c

Aliases

arxiv: 2508.19964 · arxiv_version: 2508.19964v2 · doi: 10.48550/arxiv.2508.19964 · pith_short_12: CA3WFTV2N2ZF · pith_short_16: CA3WFTV2N2ZFUKZ4 · pith_short_8: CA3WFTV2

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/CA3WFTV2N2ZFUKZ44BRRMMBAX4 \
  | 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: 103762ceba6eb25a2b3ce063163020bf10eb29cbeb47d6eb46a7bfdb8b6fa78c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa7d9308194f45b7aa425d0cc6eeb6ba6f0059084e2526a6c877c92233cde79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-27T15:19:36Z",
    "title_canon_sha256": "b8af435210266f16769fca80e0850c411df858855555992ed20500362fa975e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19964",
    "kind": "arxiv",
    "version": 2
  }
}