Pith Number

pith:O2UP4X6Q

pith:2007:O2UP4X6QF2VLUXFZWCU3WFGFKR

not attested not anchored not stored refs pending

Coordinate-free classic geometries

Carlos H. Grossi, Sasha Anan'in

arxiv:math/0702714 v6 · 2007-02-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2UP4X6QF2VLUXFZWCU3WFGFKR}

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	2026-05-18T04:09:54.721592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a8fe5fd02eaaba5cb9b0a9bb14c5546e3cef4918b4cea8e1a64ffd08da87bb

Aliases

arxiv: math/0702714 · arxiv_version: math/0702714v6 · doi: 10.48550/arxiv.math/0702714 · pith_short_12: O2UP4X6QF2VL · pith_short_16: O2UP4X6QF2VLUXFZ · pith_short_8: O2UP4X6Q

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/O2UP4X6QF2VLUXFZWCU3WFGFKR \
  | 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: 76a8fe5fd02eaaba5cb9b0a9bb14c5546e3cef4918b4cea8e1a64ffd08da87bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50931ff865740eaa6c0ff80a96c9c869947f45a991479ed5b5275b30aef6f973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-02-23T20:15:00Z",
    "title_canon_sha256": "36db8c248d637c218683b228cd68cc76ff265c82cc45bff4f782d1427b2a70a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702714",
    "kind": "arxiv",
    "version": 6
  }
}