Pith Number

pith:UHZ3X5Y6

pith:2002:UHZ3X5Y6F6YIB2X6C26C4FYHDE

not attested not anchored not stored refs pending

Legendrian Submanifolds in $R^{2n+1}$ and Contact Homology

John Etnyre, Michael G. Sullivan, Tobias Ekholm

arxiv:math/0210124 v3 · 2002-10-08 · 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{UHZ3X5Y6F6YIB2X6C26C4FYHDE}

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	2026-07-04T14:36:37.200721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f3bbf71e2fb080eafe16bc2e1707192020a691db55ae8364ba0208352942be

Aliases

arxiv: math/0210124 · arxiv_version: math/0210124v3 · doi: 10.48550/arxiv.math/0210124 · pith_short_12: UHZ3X5Y6F6YI · pith_short_16: UHZ3X5Y6F6YIB2X6 · pith_short_8: UHZ3X5Y6

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/UHZ3X5Y6F6YIB2X6C26C4FYHDE \
  | 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: a1f3bbf71e2fb080eafe16bc2e1707192020a691db55ae8364ba0208352942be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c7f4c5762d92edacba17ee09f4d43ba86474388627ff51c1254699ccd23409",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-10-08T17:18:32Z",
    "title_canon_sha256": "b0bf79ed71d2caf7f5f3120af4b5b3990c19bb15ec405c26f14fe3899d50509d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210124",
    "kind": "arxiv",
    "version": 3
  }
}