Pith Number

pith:PQKQ3UE3

pith:2005:PQKQ3UE3CJUNQFDH77W2S5EFLU

not attested not anchored not stored refs pending

Enumeration of quarter-turn symmetric alternating-sign matrices of odd order

A. V. Razumov, Yu. G. Stroganov

arxiv:math-ph/0507003 v2 · 2005-07-01 · 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{PQKQ3UE3CJUNQFDH77W2S5EFLU}

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	2026-05-18T01:38:33.135508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c150dd09b1268d81467ffeda974855d382359963ed3f137a00450412603c09e

Aliases

arxiv: math-ph/0507003 · arxiv_version: math-ph/0507003v2 · doi: 10.48550/arxiv.math-ph/0507003 · pith_short_12: PQKQ3UE3CJUN · pith_short_16: PQKQ3UE3CJUNQFDH · pith_short_8: PQKQ3UE3

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/PQKQ3UE3CJUNQFDH77W2S5EFLU \
  | 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: 7c150dd09b1268d81467ffeda974855d382359963ed3f137a00450412603c09e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8915bbc58c86a3dc5e21fd8330c60e2314cc693365457895c6c168c5f9d8e1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-07-01T08:45:02Z",
    "title_canon_sha256": "9af6a4552004c6326db1d167d91b34b71a3381bdd29e1d4ae02c921c4d3b5d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0507003",
    "kind": "arxiv",
    "version": 2
  }
}