Pith Number

pith:QKYP3VAE

pith:2013:QKYP3VAEBGYDPAOORCJXEOLT4H

not attested not anchored not stored refs pending

Scaffolds and Generalized Integral Galois Module Structure

G. Griffith Elder, Lindsay N. Childs, Nigel P. Byott

arxiv:1308.2088 v4 · 2013-08-09 · 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{QKYP3VAEBGYDPAOORCJXEOLT4H}

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	2026-05-18T00:39:41.088550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b0fdd40409b03781ce8893723973e1c95a66aad464afa06b55257294c6cf38

Aliases

arxiv: 1308.2088 · arxiv_version: 1308.2088v4 · doi: 10.48550/arxiv.1308.2088 · pith_short_12: QKYP3VAEBGYD · pith_short_16: QKYP3VAEBGYDPAOO · pith_short_8: QKYP3VAE

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/QKYP3VAEBGYDPAOORCJXEOLT4H \
  | 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: 82b0fdd40409b03781ce8893723973e1c95a66aad464afa06b55257294c6cf38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dae098636dba765a2597ae912dedf65016d4048e0ea23456616235cdbafb4e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-09T11:06:46Z",
    "title_canon_sha256": "c46a1547b53cdd8307147fec6f15a56754aee8cd9a14c051a6899473f3136a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2088",
    "kind": "arxiv",
    "version": 4
  }
}