Pith Number

pith:FE57H4XV

pith:2003:FE57H4XVZJYFPQCADHJBQZQH3P

not attested not anchored not stored refs pending

Knot and braid invariants from contact homology I

Lenhard Ng

arxiv:math/0302099 v4 · 2003-02-10 · 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{FE57H4XVZJYFPQCADHJBQZQH3P}

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	2026-05-18T02:38:00.424623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

293bf3f2f5ca7057c04019d2186607dbc286cdfd6fa8735863b0591ad07d60ad

Aliases

arxiv: math/0302099 · arxiv_version: math/0302099v4 · doi: 10.48550/arxiv.math/0302099 · pith_short_12: FE57H4XVZJYF · pith_short_16: FE57H4XVZJYFPQCA · pith_short_8: FE57H4XV

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/FE57H4XVZJYFPQCADHJBQZQH3P \
  | 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: 293bf3f2f5ca7057c04019d2186607dbc286cdfd6fa8735863b0591ad07d60ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03aacc17754b9869d403ac6843cc41156a51f1d60bbbb127faa4a798e95c14c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-02-10T20:50:54Z",
    "title_canon_sha256": "c49ed0c02f88cb52aa95db901817220565f259484bf950577d024fb12e40f548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302099",
    "kind": "arxiv",
    "version": 4
  }
}