Pith Number

pith:C2VYWN5O

pith:2018:C2VYWN5OU6QQYJOCWMRZG5J2IL

not attested not anchored not stored refs pending

Legendrian contact homology in $\mathbb{R}^3$

John B. Etnyre, Lenhard L. Ng

arxiv:1811.10966 v5 · 2018-11-27 · 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{C2VYWN5OU6QQYJOCWMRZG5J2IL}

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

Legendrian DGA Representations and the Colored Kauffman Polynomial

Receipt and verification

First computed	2026-07-05T06:02:43.489557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ab8b37aea7a10c25c2b32393753a42d972076e97de2a09a1f0af1c5895d79a

Aliases

arxiv: 1811.10966 · arxiv_version: 1811.10966v5 · doi: 10.48550/arxiv.1811.10966 · pith_short_12: C2VYWN5OU6QQ · pith_short_16: C2VYWN5OU6QQYJOC · pith_short_8: C2VYWN5O

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/C2VYWN5OU6QQYJOCWMRZG5J2IL \
  | 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: 16ab8b37aea7a10c25c2b32393753a42d972076e97de2a09a1f0af1c5895d79a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27591693e351ad9686f5c041ce434497b49e41431efe32103dc21a129ee8e8b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-11-27T13:26:39Z",
    "title_canon_sha256": "29691b7e5004b7292fb7e398eb4eb0b1bae77fc21a8e92229c63a8d7beda8aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10966",
    "kind": "arxiv",
    "version": 5
  }
}