Pith Number

pith:4INTEPZR

pith:2016:4INTEPZRJPD5OGZ4ZZV5LICYCB

not attested not anchored not stored refs pending

Cellular Legendrian contact homology for surfaces, part I

Dan Rutherford, Michael G Sullivan

arxiv:1608.02984 v1 · 2016-08-09 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4INTEPZRJPD5OGZ4ZZV5LICYCB}

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	2026-05-18T01:09:30.540825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21b323f314bc7d71b3cce6bd5a058106e32f014c1b072d26d58cc1463a1b512

Aliases

arxiv: 1608.02984 · arxiv_version: 1608.02984v1 · doi: 10.48550/arxiv.1608.02984 · pith_short_12: 4INTEPZRJPD5 · pith_short_16: 4INTEPZRJPD5OGZ4 · pith_short_8: 4INTEPZR

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/4INTEPZRJPD5OGZ4ZZV5LICYCB \
  | 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: e21b323f314bc7d71b3cce6bd5a058106e32f014c1b072d26d58cc1463a1b512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98934d41c63935bd9646d374f0d45ed880c9a708522933c61029a0dfde5ac3ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-08-09T21:09:29Z",
    "title_canon_sha256": "16db2cc6a15b95b6c2bcc17272850c3b3dc3fec7d2721af994a26839cdd25147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02984",
    "kind": "arxiv",
    "version": 1
  }
}