Pith Number

pith:D6N5TDKY

pith:2022:D6N5TDKYBYAKN3BSH3YXKNM2CP

not attested not anchored not stored refs pending

Microlocal Theory of Legendrian Links and Cluster Algebras

Daping Weng, Roger Casals

arxiv:2204.13244 v3 · 2022-04-28 · math.SG · math.AG · math.CO · 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{D6N5TDKYBYAKN3BSH3YXKNM2CP}

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

Cluster structures in mixed Grassmanianns

Receipt and verification

First computed	2026-07-05T07:28:42.693564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9bd98d580e00a6ec323ef175359a13de36059a62709cefc8aa7ba8bd731a8f

Aliases

arxiv: 2204.13244 · arxiv_version: 2204.13244v3 · doi: 10.48550/arxiv.2204.13244 · pith_short_12: D6N5TDKYBYAK · pith_short_16: D6N5TDKYBYAKN3BS · pith_short_8: D6N5TDKY

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/D6N5TDKYBYAKN3BSH3YXKNM2CP \
  | 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: 1f9bd98d580e00a6ec323ef175359a13de36059a62709cefc8aa7ba8bd731a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bafed26e4bb247257602c8ffd79555eb954ffe36eeeb6c3ae6c26eb92f9b0b09",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-04-28T00:54:40Z",
    "title_canon_sha256": "cd861839d0d918b725a8d354d6a62839fe29193f62cf30e85d8ae750fc8e276c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.13244",
    "kind": "arxiv",
    "version": 3
  }
}