Pith Number

pith:TLO3POP5

pith:2014:TLO3POP53JDO3PL5IMHEAVVXFC

not attested not anchored not stored refs pending

Some finite abelian group theory and some q-series identities

Derek Garton

arxiv:1405.5824 v4 · 2014-05-22 · 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{TLO3POP53JDO3PL5IMHEAVVXFC}

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	2026-05-18T01:13:31.204853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9addb7b9fdda46edbd7d430e4056b728be7f9a0ba36d1d5ed7332bd5e2fb1a52

Aliases

arxiv: 1405.5824 · arxiv_version: 1405.5824v4 · doi: 10.48550/arxiv.1405.5824 · pith_short_12: TLO3POP53JDO · pith_short_16: TLO3POP53JDO3PL5 · pith_short_8: TLO3POP5

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/TLO3POP53JDO3PL5IMHEAVVXFC \
  | 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: 9addb7b9fdda46edbd7d430e4056b728be7f9a0ba36d1d5ed7332bd5e2fb1a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9878b550b43ba786a63c576dc09d8941dba35418a9a3c308c253ec730bc1a1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-22T16:44:41Z",
    "title_canon_sha256": "942d73f6dbe744cd800ffecd7c1bc12fa52031ec7cd62c1327bca1b04e9bf8a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5824",
    "kind": "arxiv",
    "version": 4
  }
}