Pith Number

pith:L4A7UKJD

pith:2014:L4A7UKJD3IXAJCITVYV3SP5AXM

not attested not anchored not stored refs pending

On the number of ordinary circles

Frank de Zeeuw, Hossein Nassajian Mojarrad

arxiv:1412.8314 v2 · 2014-12-29 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4A7UKJD3IXAJCITVYV3SP5AXM}

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	2026-05-18T01:15:38.845130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f01fa2923da2e048913ae2bb93fa0bb065a89f4710cb32992472c1206d71325

Aliases

arxiv: 1412.8314 · arxiv_version: 1412.8314v2 · doi: 10.48550/arxiv.1412.8314 · pith_short_12: L4A7UKJD3IXA · pith_short_16: L4A7UKJD3IXAJCIT · pith_short_8: L4A7UKJD

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/L4A7UKJD3IXAJCITVYV3SP5AXM \
  | 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: 5f01fa2923da2e048913ae2bb93fa0bb065a89f4710cb32992472c1206d71325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f447d5c958c72b175b3680acf9fc24e822ec977d86ca4a0f8810fc486b293e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-29T11:28:55Z",
    "title_canon_sha256": "11809e968dd6cadce9e0cfc6b176545f3fc794479a22fa0fac6795a9e19ccbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8314",
    "kind": "arxiv",
    "version": 2
  }
}