Pith Number

pith:AX2S5FSZ

pith:2009:AX2S5FSZ76TL2KRXTTEBKHNMDE

not attested not anchored not stored refs pending

Enumerating perfect forms

Achill Schuermann

arxiv:0901.1587 v1 · 2009-01-12 · math.NT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AX2S5FSZ76TL2KRXTTEBKHNMDE}

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	2026-05-18T04:10:47.275852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f52e9659ffa6bd2a379cc8151dac191db78e8f8264084570d35bd41a36b472

Aliases

arxiv: 0901.1587 · arxiv_version: 0901.1587v1 · doi: 10.48550/arxiv.0901.1587 · pith_short_12: AX2S5FSZ76TL · pith_short_16: AX2S5FSZ76TL2KRX · pith_short_8: AX2S5FSZ

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/AX2S5FSZ76TL2KRXTTEBKHNMDE \
  | 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: 05f52e9659ffa6bd2a379cc8151dac191db78e8f8264084570d35bd41a36b472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f1060cdf1c4dd6874ca985282e24073ef69653675f43d8bc40ec75152b540e",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-01-12T15:30:28Z",
    "title_canon_sha256": "f35643c0829ff1c52afc718802c33dbd41a07ebc897f1352381e3c67038e0a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1587",
    "kind": "arxiv",
    "version": 1
  }
}