Pith Number

pith:RYR43DUT

pith:2009:RYR43DUTKSNM4JCYQ6DL35KXZI

not attested not anchored not stored refs pending

An integer valued bi-invariant metric on the group of contactomorphisms of R^2n x S^1

Sheila Sandon

arxiv:0910.5632 v3 · 2009-10-29 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYR43DUTKSNM4JCYQ6DL35KXZI}

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.

Cited by

1 paper in Pith

FlowLM: Few-Step Language Modeling via Diffusion-to-Flow Adaptation

Receipt and verification

First computed	2026-05-18T04:10:36.104057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e23cd8e93549ace24588786bdf557ca095fbf7f6f5426f6c24aa4b489056df8

Aliases

arxiv: 0910.5632 · arxiv_version: 0910.5632v3 · doi: 10.48550/arxiv.0910.5632 · pith_short_12: RYR43DUTKSNM · pith_short_16: RYR43DUTKSNM4JCY · pith_short_8: RYR43DUT

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/RYR43DUTKSNM4JCYQ6DL35KXZI \
  | 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: 8e23cd8e93549ace24588786bdf557ca095fbf7f6f5426f6c24aa4b489056df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f3906b565f0b70f5ef13d9b6c202c11d6b3b18ce90737188ee166cc9d40c1f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-10-29T12:59:27Z",
    "title_canon_sha256": "0a95bbefbe28e4dc5a1f2a881e953c5c7a8b5ae52f0c25dfcb9511eef78221ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5632",
    "kind": "arxiv",
    "version": 3
  }
}