Pith Number

pith:W7LYMCVD

pith:2013:W7LYMCVDGPS26QGZD4FOA3NK3U

not attested not anchored not stored refs pending

On Sylvester Waves and restricted partitions

J.S.Dowker

arxiv:1302.6172 v2 · 2013-02-25 · math.NT · math-ph · math.CO · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7LYMCVDGPS26QGZD4FOA3NK3U}

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	2026-05-18T03:31:53.722813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d7860aa333e5af40d91f0ae06daadd03a25d0e125972ed58e63540ade12ca2

Aliases

arxiv: 1302.6172 · arxiv_version: 1302.6172v2 · doi: 10.48550/arxiv.1302.6172 · pith_short_12: W7LYMCVDGPS2 · pith_short_16: W7LYMCVDGPS26QGZ · pith_short_8: W7LYMCVD

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/W7LYMCVDGPS26QGZD4FOA3NK3U \
  | 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: b7d7860aa333e5af40d91f0ae06daadd03a25d0e125972ed58e63540ade12ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3f37379afb1f866a25056ee826c12b97124593a4a6c622b4b5228b99b167ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-25T17:42:50Z",
    "title_canon_sha256": "b9c1bd1b2278a96b236e53c23f88ec0c66671906a0e7c7360c5406fdf88e7b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6172",
    "kind": "arxiv",
    "version": 2
  }
}