Pith Number

pith:HMHK762X

pith:2012:HMHK762XJRDDB5HMNSMAHQWESB

not attested not anchored not stored refs pending

Bilinearised Legendrian contact homology and the augmentation category

Baptiste Chantraine, Fr\'ed\'eric Bourgeois

arxiv:1210.7367 v2 · 2012-10-27 · 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{HMHK762XJRDDB5HMNSMAHQWESB}

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	2026-05-18T03:25:59.084887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0eaffb574c4630f4ec6c9803c2c49051ef97e04eba94af773ede60bcdb36be

Aliases

arxiv: 1210.7367 · arxiv_version: 1210.7367v2 · doi: 10.48550/arxiv.1210.7367 · pith_short_12: HMHK762XJRDD · pith_short_16: HMHK762XJRDDB5HM · pith_short_8: HMHK762X

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/HMHK762XJRDDB5HMNSMAHQWESB \
  | 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: 3b0eaffb574c4630f4ec6c9803c2c49051ef97e04eba94af773ede60bcdb36be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49d30f56cf732c1d2151fb9dea8c1dd813e6728e2a3f16bd258734a5a2a8b42",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-27T19:42:49Z",
    "title_canon_sha256": "d23d72aad151f6098d3ca9a40de3d13570041e84a1fc442e60f63d4345b8b341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7367",
    "kind": "arxiv",
    "version": 2
  }
}