Pith Number

pith:2GD3OOOF

pith:2017:2GD3OOOFH56JVBGHUKH5SE5K4Z

not attested not anchored not stored refs pending

The descriptive look at the size of subsets of groups

Igor Protasov, Ksenia Protasova, Taras Banakh

arxiv:1703.00174 v1 · 2017-03-01 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GD3OOOFH56JVBGHUKH5SE5K4Z}

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	2026-05-18T00:49:45.733103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d187b739c53f7c9a84c7a28fd913aae65d5a9a5b01b6c8a83e81fa97c556eb74

Aliases

arxiv: 1703.00174 · arxiv_version: 1703.00174v1 · doi: 10.48550/arxiv.1703.00174 · pith_short_12: 2GD3OOOFH56J · pith_short_16: 2GD3OOOFH56JVBGH · pith_short_8: 2GD3OOOF

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/2GD3OOOFH56JVBGHUKH5SE5K4Z \
  | 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: d187b739c53f7c9a84c7a28fd913aae65d5a9a5b01b6c8a83e81fa97c556eb74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453ee1f39692ff14ea4dea7fd2a64eeb982b6361fc50526222611ecd4d5e6cad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-03-01T08:13:18Z",
    "title_canon_sha256": "8460d1e70eed93277a291e10c83c23d01f7d0beccce6583e15fec007a24dda20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00174",
    "kind": "arxiv",
    "version": 1
  }
}