Pith Number

pith:N4NCZTZ3

pith:2019:N4NCZTZ37GCNWYUF4CNB5ZJO7Y

not attested not anchored not stored refs pending

The average simplex cardinality of a finite abstract simplicial complex

Oliver Knill

arxiv:1905.02118 v1 · 2019-05-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4NCZTZ37GCNWYUF4CNB5ZJO7Y}

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	2026-05-17T23:46:56.313169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1a2ccf3bf984db6285e09a1ee52efe3e41078dc3fce745255b610d0fdf313e

Aliases

arxiv: 1905.02118 · arxiv_version: 1905.02118v1 · doi: 10.48550/arxiv.1905.02118 · pith_short_12: N4NCZTZ37GCN · pith_short_16: N4NCZTZ37GCNWYUF · pith_short_8: N4NCZTZ3

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/N4NCZTZ37GCNWYUF4CNB5ZJO7Y \
  | 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: 6f1a2ccf3bf984db6285e09a1ee52efe3e41078dc3fce745255b610d0fdf313e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f721d2dbf31316a75db123012c5f94d9380d887fe579dbb77428bf54f4edc9e1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-06T16:06:21Z",
    "title_canon_sha256": "8946e125a79ecc3bdfba9b86be1a7d80363e2e28ff87d3ef323799aac8cbeeab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02118",
    "kind": "arxiv",
    "version": 1
  }
}