Pith Number

pith:CYTCJLRS

pith:2011:CYTCJLRSZZSZIJEPPXLY6E4ZU6

not attested not anchored not stored refs pending

On the weighted enumeration of alternating sign matrices and descending plane partitions

Paul Zinn-Justin, Philippe Di Francesco, Roger E. Behrend

arxiv:1103.1176 v2 · 2011-03-06 · 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{CYTCJLRSZZSZIJEPPXLY6E4ZU6}

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	2026-05-18T04:07:32.374898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162624ae32ce6594248f7dd78f1399a7a00fb69b0334a27d9e005f814c0c3ea2

Aliases

arxiv: 1103.1176 · arxiv_version: 1103.1176v2 · doi: 10.48550/arxiv.1103.1176 · pith_short_12: CYTCJLRSZZSZ · pith_short_16: CYTCJLRSZZSZIJEP · pith_short_8: CYTCJLRS

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/CYTCJLRSZZSZIJEPPXLY6E4ZU6 \
  | 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: 162624ae32ce6594248f7dd78f1399a7a00fb69b0334a27d9e005f814c0c3ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60cc9993fc34b20f26c192b8aa522bec74d8c88745bf1b084125f41a40fe8236",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-06T23:31:40Z",
    "title_canon_sha256": "39eb4885e4baf3de48845c557526750b47cf5c49668bca8cba706d2871f6b9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1176",
    "kind": "arxiv",
    "version": 2
  }
}