Pith Number

pith:7OPVZ2XQ

pith:2012:7OPVZ2XQRRGSMPJGMTHKQ7C4NW

not attested not anchored not stored refs pending

Truncated determinants and the refined enumeration of Alternating Sign Matrices and Descending Plane Partitions

Philippe Di Francesco

arxiv:1212.3006 v1 · 2012-12-12 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OPVZ2XQRRGSMPJGMTHKQ7C4NW}

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	2026-05-18T03:38:34.706662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9f5ceaf08c4d263d2664cea87c5c6da4bff78a45f25bc54937624e4dddddfb

Aliases

arxiv: 1212.3006 · arxiv_version: 1212.3006v1 · doi: 10.48550/arxiv.1212.3006 · pith_short_12: 7OPVZ2XQRRGS · pith_short_16: 7OPVZ2XQRRGSMPJG · pith_short_8: 7OPVZ2XQ

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/7OPVZ2XQRRGSMPJGMTHKQ7C4NW \
  | 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: fb9f5ceaf08c4d263d2664cea87c5c6da4bff78a45f25bc54937624e4dddddfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547e100caf136174b5a0a723b2a3692f7c9d2fba75f5526b2c0a0e2b5998e22e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-12T22:37:16Z",
    "title_canon_sha256": "fd3618622486fccbc4cd35649e505fb2751bf55ea9a10c39a499f4ddbcc567e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3006",
    "kind": "arxiv",
    "version": 1
  }
}