Pith Number

pith:7HRJPBGH

pith:2024:7HRJPBGH7YYQL6ZC7RBFLY55V4

not attested not anchored not stored refs pending

Critical groups and partitions of finite groups

Daniela Bubboloni, Nicolas Pinzauti

arxiv:2412.12345 v1 · 2024-12-16 · math.GR · 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{7HRJPBGH7YYQL6ZC7RBFLY55V4}

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	2026-07-05T09:52:19.556490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e29784c7fe3105fb22fc4255e3bdaf01f56d09231d93e62c6c81d70b0d57e8

Aliases

arxiv: 2412.12345 · arxiv_version: 2412.12345v1 · doi: 10.48550/arxiv.2412.12345 · pith_short_12: 7HRJPBGH7YYQ · pith_short_16: 7HRJPBGH7YYQL6ZC · pith_short_8: 7HRJPBGH

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/7HRJPBGH7YYQL6ZC7RBFLY55V4 \
  | 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: f9e29784c7fe3105fb22fc4255e3bdaf01f56d09231d93e62c6c81d70b0d57e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db31269f33bf33def0109d8d912a879c9914ac56403d8d981eba90cf30f99fac",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-12-16T20:39:39Z",
    "title_canon_sha256": "318e70a61516afba1dc88ff6a60030060f715a85f41b359aa63b3b1c91e4e265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12345",
    "kind": "arxiv",
    "version": 1
  }
}