Pith Number

pith:DDQ4SJSA

pith:2019:DDQ4SJSA5MG2GHHIX5UYWRIU2V

not attested not anchored not stored refs pending

Categorification of Legendrian knots

Tatsuki Kuwagaki

arxiv:1902.04269 v2 · 2019-02-12 · math.AG · 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{DDQ4SJSA5MG2GHHIX5UYWRIU2V}

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	2026-05-17T23:53:49.270934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e1c92640eb0da31ce8bf698b4514d544cb31d2a2af045e4802238fb206b575

Aliases

arxiv: 1902.04269 · arxiv_version: 1902.04269v2 · doi: 10.48550/arxiv.1902.04269 · pith_short_12: DDQ4SJSA5MG2 · pith_short_16: DDQ4SJSA5MG2GHHI · pith_short_8: DDQ4SJSA

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/DDQ4SJSA5MG2GHHIX5UYWRIU2V \
  | 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: 18e1c92640eb0da31ce8bf698b4514d544cb31d2a2af045e4802238fb206b575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05bede0402a180e0175121c32b94b408516048bc10a60779bf2d2f18009c57a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-12T07:47:40Z",
    "title_canon_sha256": "7a30f729b825aff14d69ed79e3e0215f98ff83ba05e6771e2cde1bfd7c83475d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04269",
    "kind": "arxiv",
    "version": 2
  }
}