Pith Number

pith:U73B2OMD

pith:2010:U73B2OMDIYTSERNRUDTVAYQ5KR

not attested not anchored not stored refs pending

A bordered Chekanov-Eliashberg algebra

Steven Sivek

arxiv:1004.4929 v2 · 2010-04-28 · 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{U73B2OMDIYTSERNRUDTVAYQ5KR}

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	2026-05-18T04:27:36.148897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f61d398346272245b1a0e750621d5457450bfc1997a904d87563e1c47d693a

Aliases

arxiv: 1004.4929 · arxiv_version: 1004.4929v2 · doi: 10.48550/arxiv.1004.4929 · pith_short_12: U73B2OMDIYTS · pith_short_16: U73B2OMDIYTSERNR · pith_short_8: U73B2OMD

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/U73B2OMDIYTSERNRUDTVAYQ5KR \
  | 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: a7f61d398346272245b1a0e750621d5457450bfc1997a904d87563e1c47d693a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5562b53c9242048d398e71c0ff5f55b06ad792d8f0f6bb8a6ae1ae37ae61ff8b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-04-28T00:01:39Z",
    "title_canon_sha256": "9ab34d913f67d0f3ccc761f56c46f231bc79a1604bc1ed437df11fa3fe4772a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4929",
    "kind": "arxiv",
    "version": 2
  }
}