Pith Number

pith:VO2WSJ2A

pith:2012:VO2WSJ2AOYXDDOFU4ASMFMWLS2

not attested not anchored not stored refs pending

Bi-invariant metric on the strict contactomorphism group

Tomasz Rybicki

arxiv:1202.5897 v2 · 2012-02-27 · 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{VO2WSJ2AOYXDDOFU4ASMFMWLS2}

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	2026-05-18T04:00:28.057257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb5692740762e31b8b4e024c2b2cb96b44339e8de8c7bf2c4b933f4de82baab

Aliases

arxiv: 1202.5897 · arxiv_version: 1202.5897v2 · doi: 10.48550/arxiv.1202.5897 · pith_short_12: VO2WSJ2AOYXD · pith_short_16: VO2WSJ2AOYXDDOFU · pith_short_8: VO2WSJ2A

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/VO2WSJ2AOYXDDOFU4ASMFMWLS2 \
  | 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: abb5692740762e31b8b4e024c2b2cb96b44339e8de8c7bf2c4b933f4de82baab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad69c7efd00ae5ccb6de3de754d4362f8c46469188d2b55ff71bbac6ac932253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-27T11:40:25Z",
    "title_canon_sha256": "a72d170e5835303e56fc03ccda496b44ffd4a8d15d79c8b2c6eee36cf871a45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5897",
    "kind": "arxiv",
    "version": 2
  }
}