Pith Number

pith:M6KQ6R5V

pith:2013:M6KQ6R5V3CKS4HUVL7ZZAXM7GT

not attested not anchored not stored refs pending

The Ambiguous Class Number Formula Revisited

Franz Lemmermeyer

arxiv:1309.1071 v1 · 2013-09-04 · 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{M6KQ6R5V3CKS4HUVL7ZZAXM7GT}

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	2026-05-18T03:14:09.174804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67950f47b5d8952e1e955ff3905d9f34ccabcb58cb3376ac2dc2e5ddb72204f0

Aliases

arxiv: 1309.1071 · arxiv_version: 1309.1071v1 · doi: 10.48550/arxiv.1309.1071 · pith_short_12: M6KQ6R5V3CKS · pith_short_16: M6KQ6R5V3CKS4HUV · pith_short_8: M6KQ6R5V

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/M6KQ6R5V3CKS4HUVL7ZZAXM7GT \
  | 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: 67950f47b5d8952e1e955ff3905d9f34ccabcb58cb3376ac2dc2e5ddb72204f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76835cd478e13bc452d99f7a93fd3d619dd2603ab06828d9062496989070895",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-04T15:24:24Z",
    "title_canon_sha256": "4cc05d30c6589c2efb9e5324263d68c368a20ee2ce20b1d336090291c7367e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1071",
    "kind": "arxiv",
    "version": 1
  }
}