Pith Number

pith:GK3OHCN3

pith:2015:GK3OHCN3LMW2FO7CJC7Y4ZNFHL

not attested not anchored not stored refs pending

Powers and alternative laws

Nicholas Ormes, Petr Vojt\v{e}chovsk\'y

arxiv:1509.05698 v1 · 2015-09-18 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GK3OHCN3LMW2FO7CJC7Y4ZNFHL}

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	2026-05-18T01:32:42.578659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b6e389bb5b2da2bbe248bf8e65a53adcc41d2618bede552117c51b3cb39a3e

Aliases

arxiv: 1509.05698 · arxiv_version: 1509.05698v1 · doi: 10.48550/arxiv.1509.05698 · pith_short_12: GK3OHCN3LMW2 · pith_short_16: GK3OHCN3LMW2FO7C · pith_short_8: GK3OHCN3

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/GK3OHCN3LMW2FO7CJC7Y4ZNFHL \
  | 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: 32b6e389bb5b2da2bbe248bf8e65a53adcc41d2618bede552117c51b3cb39a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c76c0680c6cf5397301d37aefc9211185c620c83abd25a124d4c2f60580db13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-18T16:50:35Z",
    "title_canon_sha256": "09ca7ec99243b5315cf791391706f481eb45a52640b561099536c7d82e552057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05698",
    "kind": "arxiv",
    "version": 1
  }
}