Pith Number

pith:HPOFFZ4V

pith:2010:HPOFFZ4VJFZTJOVSREHXST7ZRG

not attested not anchored not stored refs pending

Extension of Stanley's Theorem for Partitions

Manosij Ghosh Dastidar, Sourav Sen Gupta

arxiv:1007.3459 v2 · 2010-07-20 · cs.DM · math.CO · 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{HPOFFZ4VJFZTJOVSREHXST7ZRG}

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	2026-05-18T04:32:33.859113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdc52e795497334bab2890f794ff98996032d78472a6fa61e70d30a15f2ff4d

Aliases

arxiv: 1007.3459 · arxiv_version: 1007.3459v2 · doi: 10.48550/arxiv.1007.3459 · pith_short_12: HPOFFZ4VJFZT · pith_short_16: HPOFFZ4VJFZTJOVS · pith_short_8: HPOFFZ4V

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/HPOFFZ4VJFZTJOVSREHXST7ZRG \
  | 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: 3bdc52e795497334bab2890f794ff98996032d78472a6fa61e70d30a15f2ff4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea03b3d77f5d293dbd3b4bb8dde340c849d71d2631fa65b4aaf60a3110de0430",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-07-20T16:21:40Z",
    "title_canon_sha256": "e44860e19ee669541712e52a1dab14bad667514270718c0110097cb7978a8083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3459",
    "kind": "arxiv",
    "version": 2
  }
}