Pith Number

pith:QZQWQ7NT

pith:2012:QZQWQ7NTUY622YRGMMNNBSXMR3

not attested not anchored not stored refs pending

Multiply-refined enumeration of alternating sign matrices

Roger E. Behrend

arxiv:1203.3187 v3 · 2012-03-14 · 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{QZQWQ7NTUY622YRGMMNNBSXMR3}

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	2026-05-18T03:08:25.236411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8661687db3a63dad6226631ad0caec8ec8e0d33ba24734a2815c80322e48f073

Aliases

arxiv: 1203.3187 · arxiv_version: 1203.3187v3 · doi: 10.48550/arxiv.1203.3187 · pith_short_12: QZQWQ7NTUY62 · pith_short_16: QZQWQ7NTUY622YRG · pith_short_8: QZQWQ7NT

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/QZQWQ7NTUY622YRGMMNNBSXMR3 \
  | 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: 8661687db3a63dad6226631ad0caec8ec8e0d33ba24734a2815c80322e48f073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c174c641c97871d6a5a152ed858dcd4dd023815b200334e7c47ab6af9169390",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-14T19:55:10Z",
    "title_canon_sha256": "dc263b75b31a1b6d60076f295904678906bf7e9dce3197ab871c036181e18b5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3187",
    "kind": "arxiv",
    "version": 3
  }
}