Pith Number

pith:G2FHPKVA

pith:2010:G2FHPKVA4IGQ6B4Q34E5VVEHRH

not attested not anchored not stored refs pending

What is Cost?

Damien Gaboriau (UMPA-ENSL)

arxiv:1011.2294 v1 · 2010-11-10 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2FHPKVA4IGQ6B4Q34E5VVEHRH}

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	2026-05-18T04:36:30.668711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

368a77aaa0e20d0f0790df09dad48789ef324d4f8ab4bd1a3c0cac984b95408b

Aliases

arxiv: 1011.2294 · arxiv_version: 1011.2294v1 · doi: 10.48550/arxiv.1011.2294 · pith_short_12: G2FHPKVA4IGQ · pith_short_16: G2FHPKVA4IGQ6B4Q · pith_short_8: G2FHPKVA

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/G2FHPKVA4IGQ6B4Q34E5VVEHRH \
  | 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: 368a77aaa0e20d0f0790df09dad48789ef324d4f8ab4bd1a3c0cac984b95408b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffd767f6a6ecac13e43f1488cc76ccd52e90133f1b70d1f4705db9572177c7d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-10T08:18:20Z",
    "title_canon_sha256": "9fae63c299af298d31264e6bd37387ace69fafa87606aff891dbd7b75a546006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2294",
    "kind": "arxiv",
    "version": 1
  }
}