Pith Number

pith:76UKDF7T

pith:2023:76UKDF7TYKVNPHIA2OV5XQ6DXW

not attested not anchored not stored refs pending

Distinguishing graphs with two integer matrices

Carlos A. Alfaro, Octavio Zapata, Ralihe R. Villagr\'an

arxiv:2309.15365 v1 · 2023-09-27 · 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{76UKDF7TYKVNPHIA2OV5XQ6DXW}

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	2026-07-05T06:54:44.748380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa8a197f3c2aad79d00d3abdbc3c3bdbe84d54be45041d2153397dbc4c481b0

Aliases

arxiv: 2309.15365 · arxiv_version: 2309.15365v1 · doi: 10.48550/arxiv.2309.15365 · pith_short_12: 76UKDF7TYKVN · pith_short_16: 76UKDF7TYKVNPHIA · pith_short_8: 76UKDF7T

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/76UKDF7TYKVNPHIA2OV5XQ6DXW \
  | 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: ffa8a197f3c2aad79d00d3abdbc3c3bdbe84d54be45041d2153397dbc4c481b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac58a7bfe792ca49adc991cb410638aaed79b9d563ce8eb543dac3fc369510a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-27T02:35:52Z",
    "title_canon_sha256": "475209def50fcb0c562d7e4596083e4920484e6e788f7b2435b2171847f2d2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15365",
    "kind": "arxiv",
    "version": 1
  }
}