Pith Number

pith:LOJQ7RVN

pith:2013:LOJQ7RVNHOWGL7NUL6M4AP6KR3

not attested not anchored not stored refs pending

Circular reasoning: who first proved that $C/d$ is a constant?

David Richeson

arxiv:1303.0904 v2 · 2013-03-05 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOJQ7RVNHOWGL7NUL6M4AP6KR3}

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	2026-05-18T03:30:56.009701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b930fc6ad3bac65fdb45f99c03fca8ede9fd40fcce3a467bc98b8798e27b699

Aliases

arxiv: 1303.0904 · arxiv_version: 1303.0904v2 · doi: 10.48550/arxiv.1303.0904 · pith_short_12: LOJQ7RVNHOWG · pith_short_16: LOJQ7RVNHOWGL7NU · pith_short_8: LOJQ7RVN

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/LOJQ7RVNHOWGL7NUL6M4AP6KR3 \
  | 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: 5b930fc6ad3bac65fdb45f99c03fca8ede9fd40fcce3a467bc98b8798e27b699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359e431b9ee0425899a439d57e91a5e6aae6594ad858d62f9c86f78de7596c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-03-05T01:42:45Z",
    "title_canon_sha256": "48ab5436d52ebaf58004ce85edf082bc26e2a06f1a1cb1312cd8461a2e9b7441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0904",
    "kind": "arxiv",
    "version": 2
  }
}