Pith Number

pith:5FCA4WSE

pith:2007:5FCA4WSEMSP2H4SOO57GQLJKTO

not attested not anchored not stored refs pending

Higher Spin Alternating Sign Matrices

Roger E. Behrend, Vincent A. Knight

arxiv:0708.2522 v2 · 2007-08-20 · 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{5FCA4WSEMSP2H4SOO57GQLJKTO}

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	2026-05-18T04:07:18.097352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9440e5a44649fa3f24e777e682d2a9baf9f10b271f83b1b7e358d1d608f321d

Aliases

arxiv: 0708.2522 · arxiv_version: 0708.2522v2 · doi: 10.48550/arxiv.0708.2522 · pith_short_12: 5FCA4WSEMSP2 · pith_short_16: 5FCA4WSEMSP2H4SO · pith_short_8: 5FCA4WSE

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/5FCA4WSEMSP2H4SOO57GQLJKTO \
  | 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: e9440e5a44649fa3f24e777e682d2a9baf9f10b271f83b1b7e358d1d608f321d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcea54ce4e8f651fbabd059d748787d7ad7cda1107203cd7aee64c5114002212",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-08-20T19:30:49Z",
    "title_canon_sha256": "72609adbc8c8df45a7ff92adc1945ca868dd8efa67750e73bcb62747d05dd631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2522",
    "kind": "arxiv",
    "version": 2
  }
}