Pith Number

pith:YJBQL2SQ

pith:2014:YJBQL2SQ7PO6QNVLQ7AUZNQ2T5

not attested not anchored not stored refs pending

Small points and free abelian groups

Lukas Pottmeyer, Philipp Habegger, Robert Grizzard

arxiv:1408.4915 v1 · 2014-08-21 · 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{YJBQL2SQ7PO6QNVLQ7AUZNQ2T5}

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	2026-05-18T00:44:58.432760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24305ea50fbdde836ab87c14cb61a9f5befc6569f04f106e10719b9cc968a72

Aliases

arxiv: 1408.4915 · arxiv_version: 1408.4915v1 · doi: 10.48550/arxiv.1408.4915 · pith_short_12: YJBQL2SQ7PO6 · pith_short_16: YJBQL2SQ7PO6QNVL · pith_short_8: YJBQL2SQ

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/YJBQL2SQ7PO6QNVLQ7AUZNQ2T5 \
  | 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: c24305ea50fbdde836ab87c14cb61a9f5befc6569f04f106e10719b9cc968a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "899ae89c0a7b4f87baa721687de90829170a15d60b37f4f3b2e24a677cf5c808",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T08:39:42Z",
    "title_canon_sha256": "ac24c6a100b1f499d0bbdf751625b7b3417c69f1ca1ca4c2ab82394fc37b5c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4915",
    "kind": "arxiv",
    "version": 1
  }
}