Pith Number

pith:VUTSELLX

pith:2008:VUTSELLXXI3TM64EBVNYDIMCHG

not attested not anchored not stored refs pending

Commutators of contactomorphisms

Tomasz Rybicki

arxiv:0803.4338 v5 · 2008-03-30 · 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{VUTSELLXXI3TM64EBVNYDIMCHG}

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	2026-05-18T04:38:51.043818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad27222d77ba37367b840d5b81a18239aae635ac3ea2ef3055f0bd81d9ff02eb

Aliases

arxiv: 0803.4338 · arxiv_version: 0803.4338v5 · doi: 10.48550/arxiv.0803.4338 · pith_short_12: VUTSELLXXI3T · pith_short_16: VUTSELLXXI3TM64E · pith_short_8: VUTSELLX

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/VUTSELLXXI3TM64EBVNYDIMCHG \
  | 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: ad27222d77ba37367b840d5b81a18239aae635ac3ea2ef3055f0bd81d9ff02eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be849d0b9a328eb6cb76e2ec6223fea095dbf8cbfcbbe60e4212847c5a724b0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-30T19:14:13Z",
    "title_canon_sha256": "34628e2f024ac668f314760d6d8d0872e1941958e3ef4396674b9e5ee6c21893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4338",
    "kind": "arxiv",
    "version": 5
  }
}