Pith Number

pith:HRXU2PLA

pith:2012:HRXU2PLATOKPRA7PQGH7BPDX4K

not attested not anchored not stored refs pending

An arithmetical excursion via Stoneham numbers

Michael Coons

arxiv:1212.3449 v2 · 2012-12-14 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRXU2PLATOKPRA7PQGH7BPDX4K}

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	2026-05-17T23:53:18.179303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6f4d3d609b94f883ef818ff0bc77e2b784a755e18f3b547e01a154effdd1a6

Aliases

arxiv: 1212.3449 · arxiv_version: 1212.3449v2 · doi: 10.48550/arxiv.1212.3449 · pith_short_12: HRXU2PLATOKP · pith_short_16: HRXU2PLATOKPRA7P · pith_short_8: HRXU2PLA

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/HRXU2PLATOKPRA7PQGH7BPDX4K \
  | 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: 3c6f4d3d609b94f883ef818ff0bc77e2b784a755e18f3b547e01a154effdd1a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ae4054f8eaea84659351e7758016e0c0304dee4a34fb7c0027f6c849270117",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-14T12:05:33Z",
    "title_canon_sha256": "82e59cf5ca06f8a2eb0c9c1345ddb3c0900bf7c1a13db97d51d29979d804378c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3449",
    "kind": "arxiv",
    "version": 2
  }
}