Pith Number

pith:QS4VH75L

pith:2010:QS4VH75LEHCDUITQB5LDU25ZCN

not attested not anchored not stored refs pending

The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant

Steven Sivek

arxiv:1012.5038 v1 · 2010-12-22 · 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{QS4VH75LEHCDUITQB5LDU25ZCN}

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	2026-05-18T00:38:47.041584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b953ffab21c43a22700f563a6bb9136b997dc2404638a2afa76d8b010270da

Aliases

arxiv: 1012.5038 · arxiv_version: 1012.5038v1 · doi: 10.48550/arxiv.1012.5038 · pith_short_12: QS4VH75LEHCD · pith_short_16: QS4VH75LEHCDUITQ · pith_short_8: QS4VH75L

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/QS4VH75LEHCDUITQB5LDU25ZCN \
  | 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: 84b953ffab21c43a22700f563a6bb9136b997dc2404638a2afa76d8b010270da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcba6fc23cbbf319a4f276cbe0ea904d5ac8c2b20b0240363bdc4dd69343a0c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-22T17:09:20Z",
    "title_canon_sha256": "69178505223e57b31b90f470c546dd60af479e4f5c5822fcdf65aff0584be9bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5038",
    "kind": "arxiv",
    "version": 1
  }
}