Pith Number

pith:LA5REMNJ

pith:2013:LA5REMNJ5JDKM4J5IPCWDBUETC

not attested not anchored not stored refs pending

The zeta function for circular graphs

Oliver Knill

arxiv:1312.4239 v1 · 2013-12-16 · math.SP · cs.DM · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA5REMNJ5JDKM4J5IPCWDBUETC}

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.

Cited by

1 paper in Pith

The counting matrix of a simplicial complex

Receipt and verification

First computed	2026-05-18T03:04:35.176841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583b1231a9ea46a6713d43c561868498b0428992438805e1d092bcb79e02f433

Aliases

arxiv: 1312.4239 · arxiv_version: 1312.4239v1 · doi: 10.48550/arxiv.1312.4239 · pith_short_12: LA5REMNJ5JDK · pith_short_16: LA5REMNJ5JDKM4J5 · pith_short_8: LA5REMNJ

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/LA5REMNJ5JDKM4J5IPCWDBUETC \
  | 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: 583b1231a9ea46a6713d43c561868498b0428992438805e1d092bcb79e02f433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97fdfc0b4a32cb12bc703169469f575f968799402be8a164af6c6045ec7827e",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-16T03:08:20Z",
    "title_canon_sha256": "c76ac03a138cbf89dd58864447ace6f62be1c8fc9a8f1f464e9693051e0e44bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4239",
    "kind": "arxiv",
    "version": 1
  }
}