Pith Number

pith:D3S6MG2O

pith:2024:D3S6MG2O25TNVKOABR43ARGGW4

not attested not anchored not stored refs pending

Counting in Calabi--Yau categories, with applications to Hall algebras and knot polynomials

Fabian Haiden, Mikhail Gorsky

arxiv:2409.10154 v2 · 2024-09-16 · math.QA · math.CT · math.RA · math.RT · 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{D3S6MG2O25TNVKOABR43ARGGW4}

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

Weak Relative Calabi-Yau Structures for Legendrian Contact Homology

Receipt and verification

First computed	2026-07-05T09:25:47.011588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee5e61b4ed766daa9c00c79b044c6b715979c33961a9e9715fe5a83dcfc9e1a

Aliases

arxiv: 2409.10154 · arxiv_version: 2409.10154v2 · doi: 10.48550/arxiv.2409.10154 · pith_short_12: D3S6MG2O25TN · pith_short_16: D3S6MG2O25TNVKOA · pith_short_8: D3S6MG2O

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/D3S6MG2O25TNVKOABR43ARGGW4 \
  | 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: 1ee5e61b4ed766daa9c00c79b044c6b715979c33961a9e9715fe5a83dcfc9e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644761e70aab1119eb22069ddf6d89ee6508f31e9dd5a396c856091c02d446fb",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-09-16T10:35:45Z",
    "title_canon_sha256": "ace7adec732ca6983e7c0f073073bb0f0a0ad4c5eff5019b50243040ee0046db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.10154",
    "kind": "arxiv",
    "version": 2
  }
}