Pith Number

pith:A4CEZL2J

pith:2014:A4CEZL2JBJFDRVHPPT7ORFWY5Q

not attested not anchored not stored refs pending

On the set of elasticities in numerical monoids

Christopher O'Neill, Roberto Pelayo, Thomas Barron

arxiv:1409.3425 v2 · 2014-09-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4CEZL2JBJFDRVHPPT7ORFWY5Q}

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	2026-05-18T00:08:16.515483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07044caf490a4a38d4ef7cfee896d8ec1f42933382eac2dd1af6f41adb3be1b1

Aliases

arxiv: 1409.3425 · arxiv_version: 1409.3425v2 · doi: 10.48550/arxiv.1409.3425 · pith_short_12: A4CEZL2JBJFD · pith_short_16: A4CEZL2JBJFDRVHP · pith_short_8: A4CEZL2J

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/A4CEZL2JBJFDRVHPPT7ORFWY5Q \
  | 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: 07044caf490a4a38d4ef7cfee896d8ec1f42933382eac2dd1af6f41adb3be1b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5465382dfe432684cbb772aa30982772a08081cdcc6f49db1bcddf43d9e2e780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-11T13:10:34Z",
    "title_canon_sha256": "9763ea661301b4cf0f461ec493d1ee979f19aafb26bf451e5c7fe1b7f399c72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3425",
    "kind": "arxiv",
    "version": 2
  }
}