Pith Number

pith:7X7LVXJH

pith:2016:7X7LVXJHI3NWZVKUZKMFEV3RZ6

not attested not anchored not stored refs pending

The part-frequency matrices of a partition

William J. Keith

arxiv:1601.00926 v1 · 2016-01-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X7LVXJHI3NWZVKUZKMFEV3RZ6}

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	2026-05-18T01:23:21.292711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfebadd2746db6cd554ca98525771cfa8e9709c06f332779e0c789ac9764c90

Aliases

arxiv: 1601.00926 · arxiv_version: 1601.00926v1 · doi: 10.48550/arxiv.1601.00926 · pith_short_12: 7X7LVXJHI3NW · pith_short_16: 7X7LVXJHI3NWZVKU · pith_short_8: 7X7LVXJH

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/7X7LVXJHI3NWZVKUZKMFEV3RZ6 \
  | 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: fdfebadd2746db6cd554ca98525771cfa8e9709c06f332779e0c789ac9764c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a624c316cc8ab3bf83aa8e64c9b3de1ca4f2421d7d2248bf93470276428acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-05T18:18:22Z",
    "title_canon_sha256": "8991443cf455a899804ba404621dc1bdcae9b2c51a99e97e94eaf3237f074806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00926",
    "kind": "arxiv",
    "version": 1
  }
}