pith. sign in
Pith Number

pith:7HCEAHJK

pith:2015:7HCEAHJKEEAVHVUQVLNKO2PHUE
not attested not anchored not stored refs pending

A historical survey of P-partitions

Ira M. Gessel

arxiv:1506.03508 v1 · 2015-06-10 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7HCEAHJKEEAVHVUQVLNKO2PHUE}

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 2026-05-18T00:29:52.330590Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f9c4401d2a210153d690aadaa769e7a13be4e8562ae8b7d705e148f06e5099b4

Aliases

arxiv: 1506.03508 · arxiv_version: 1506.03508v1 · doi: 10.48550/arxiv.1506.03508 · pith_short_12: 7HCEAHJKEEAV · pith_short_16: 7HCEAHJKEEAVHVUQ · pith_short_8: 7HCEAHJK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7HCEAHJKEEAVHVUQVLNKO2PHUE \
  | 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: f9c4401d2a210153d690aadaa769e7a13be4e8562ae8b7d705e148f06e5099b4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb60b729644649721ce10c79d437aee67963ee85a2d248e83df9d01c01d47caa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-10T23:45:30Z",
    "title_canon_sha256": "c45560bc04b14bacf956a308fabfff86fd4a5934be0d7996349086a11e2ef38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03508",
    "kind": "arxiv",
    "version": 1
  }
}