Pith Number

pith:QDCUDSIG

pith:2015:QDCUDSIGPH7OAANMAJMBRJ7EZO

not attested not anchored not stored refs pending

A coalgebraic model of graphs

Christian J\"akel

arxiv:1508.02169 v3 · 2015-08-10 · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDCUDSIGPH7OAANMAJMBRJ7EZO}

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	2026-05-18T01:22:48.219998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80c541c90679fee001ac025818a7e4cb9fc33a8bd36bf5ef30a7e2e4574bdc37

Aliases

arxiv: 1508.02169 · arxiv_version: 1508.02169v3 · doi: 10.48550/arxiv.1508.02169 · pith_short_12: QDCUDSIGPH7O · pith_short_16: QDCUDSIGPH7OAANM · pith_short_8: QDCUDSIG

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/QDCUDSIGPH7OAANMAJMBRJ7EZO \
  | 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: 80c541c90679fee001ac025818a7e4cb9fc33a8bd36bf5ef30a7e2e4574bdc37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c29dc50b07bb2a59721d25fa5e700da597b5bb48b139823fdb52fd8a00465a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-10T08:45:27Z",
    "title_canon_sha256": "28f30a1561c44514a6804606f64de82b3348b6327b5d690c98c085fbb4ca49a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02169",
    "kind": "arxiv",
    "version": 3
  }
}