Pith Number

pith:CZIVJSMR

pith:2009:CZIVJSMRO5FSORO5KNRLLKQ3BT

not attested not anchored not stored refs pending

A precise description of the p-adic valuation of the number of alternating sign matrices

Clemens Heuberger, Helmut Prodinger

arxiv:0908.0149 v1 · 2009-08-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZIVJSMRO5FSORO5KNRLLKQ3BT}

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	2026-05-18T04:14:29.709226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165154c991774b2745dd5362b5aa1b0cc4657f552bbf914ed0389c00daaaf9b6

Aliases

arxiv: 0908.0149 · arxiv_version: 0908.0149v1 · doi: 10.48550/arxiv.0908.0149 · pith_short_12: CZIVJSMRO5FS · pith_short_16: CZIVJSMRO5FSORO5 · pith_short_8: CZIVJSMR

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/CZIVJSMRO5FSORO5KNRLLKQ3BT \
  | 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: 165154c991774b2745dd5362b5aa1b0cc4657f552bbf914ed0389c00daaaf9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa71719ed36c65f1ecc47a00909c7c1266a4aa838c6f4976e99b9a17b8e990f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-03T09:21:58Z",
    "title_canon_sha256": "0be2ebe34950b7b9aed9dae6515409bb6a44218613e10791f7e88733a7ea54a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0149",
    "kind": "arxiv",
    "version": 1
  }
}