Pith Number

pith:AVLPXH5I

pith:2010:AVLPXH5I5MUYQ6G3PD2JGUG2BH

not attested not anchored not stored refs pending

A result of Lemmermeyer on class numbers

Paul Monsky

arxiv:1009.3990 v1 · 2010-09-21 · 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{AVLPXH5I5MUYQ6G3PD2JGUG2BH}

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	2026-05-18T04:40:34.768837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0556fb9fa8eb298878db78f49350da09e61ae7d2233c22059036cd1b39ac546c

Aliases

arxiv: 1009.3990 · arxiv_version: 1009.3990v1 · doi: 10.48550/arxiv.1009.3990 · pith_short_12: AVLPXH5I5MUY · pith_short_16: AVLPXH5I5MUYQ6G3 · pith_short_8: AVLPXH5I

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/AVLPXH5I5MUYQ6G3PD2JGUG2BH \
  | 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: 0556fb9fa8eb298878db78f49350da09e61ae7d2233c22059036cd1b39ac546c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d1b9b2401400364ca634c3dff4b5bb5c2e8ce9d7b9c6c3a8036388aeddddb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-21T03:37:52Z",
    "title_canon_sha256": "064349f025befbd234255e1afa1f92ec15a40209e7acc54fb331e780af8e128c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3990",
    "kind": "arxiv",
    "version": 1
  }
}