Pith Number

pith:UOGRVK7A

pith:2003:UOGRVK7AXV3HZSBYC3F3RHARXU

not attested not anchored not stored refs pending

Knot and braid invariants from contact homology II, with an appendix written jointly with Siddhartha Gadgil

Lenhard Ng

arxiv:math/0303343 v3 · 2003-03-27 · math.GT · 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{UOGRVK7AXV3HZSBYC3F3RHARXU}

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

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Receipt and verification

First computed	2026-05-18T02:38:00.402840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a38d1aabe0bd767cc83816cbb89c11bd18343bf9047e1bd81f4bb90fb238a222

Aliases

arxiv: math/0303343 · arxiv_version: math/0303343v3 · doi: 10.48550/arxiv.math/0303343 · pith_short_12: UOGRVK7AXV3H · pith_short_16: UOGRVK7AXV3HZSBY · pith_short_8: UOGRVK7A

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/UOGRVK7AXV3HZSBYC3F3RHARXU \
  | 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: a38d1aabe0bd767cc83816cbb89c11bd18343bf9047e1bd81f4bb90fb238a222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6690ccae67c0cac3f55bfdb764c16c70bb5778bf21c0d3b3b6c33d481eb8faaf",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-03-27T00:56:56Z",
    "title_canon_sha256": "c2a88def26ef398fa1454ae57bb03df10c8b223f2390dab61295733776c92ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303343",
    "kind": "arxiv",
    "version": 3
  }
}