Pith Number

pith:WHMGLQZT

pith:2013:WHMGLQZTX3ZK2TWD2C7MJ4Q6W2

not attested not anchored not stored refs pending

Some results related to the conjecture by Belfiore and Sol\'e

Anne-Maria Ernvall-Hyt\"onen

arxiv:1303.7460 v1 · 2013-03-29 · cs.IT · math.IT · 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{WHMGLQZTX3ZK2TWD2C7MJ4Q6W2}

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	2026-05-18T03:29:28.331851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d865c333bef2ad4ec3d0bec4f21eb6a0b9e03ffabb40f486898f6606dc0a19

Aliases

arxiv: 1303.7460 · arxiv_version: 1303.7460v1 · doi: 10.48550/arxiv.1303.7460 · pith_short_12: WHMGLQZTX3ZK · pith_short_16: WHMGLQZTX3ZK2TWD · pith_short_8: WHMGLQZT

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/WHMGLQZTX3ZK2TWD2C7MJ4Q6W2 \
  | 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: b1d865c333bef2ad4ec3d0bec4f21eb6a0b9e03ffabb40f486898f6606dc0a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd438d2b923573bab7207f0d2aa854786c3f7244ebe87f095543f1ac21ae287a",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-29T19:08:49Z",
    "title_canon_sha256": "5be86ed1b7356e21f2cac3bdc46c8ed6c74d3021758f96f30f66cda2d3a453ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7460",
    "kind": "arxiv",
    "version": 1
  }
}