Pith Number

pith:ELJJLUQH

pith:2013:ELJJLUQHLVPYTY7UBIIWA4OUKV

not attested not anchored not stored refs pending

Log-Concavity of the Partition Function

Igor Pak, Stephen DeSalvo

arxiv:1310.7982 v2 · 2013-10-29 · 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{ELJJLUQHLVPYTY7UBIIWA4OUKV}

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	2026-05-18T02:48:24.642793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d295d2075d5f89e3f40a116071d45558d964a3e3d7e08a0bff9032afae4949

Aliases

arxiv: 1310.7982 · arxiv_version: 1310.7982v2 · doi: 10.48550/arxiv.1310.7982 · pith_short_12: ELJJLUQHLVPY · pith_short_16: ELJJLUQHLVPYTY7U · pith_short_8: ELJJLUQH

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/ELJJLUQHLVPYTY7UBIIWA4OUKV \
  | 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: 22d295d2075d5f89e3f40a116071d45558d964a3e3d7e08a0bff9032afae4949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ab8197a1bdf81c4c330dedaba936e81b70514d927bf3a3ab288cbcaf0f2c0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-29T23:25:09Z",
    "title_canon_sha256": "991178bf57005b0c6e52d5d9155957b880a3bdfb088af7c2c2a1f15e26fe93f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7982",
    "kind": "arxiv",
    "version": 2
  }
}