Pith Number

pith:3ZI57XDE

pith:2015:3ZI57XDELYFNHP6JQU2DNK4MTR

not attested not anchored not stored refs pending

Cohomological Hall algebras and character varieties

Ben Davison

arxiv:1504.00352 v3 · 2015-04-01 · math.AG · hep-th · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZI57XDELYFNHP6JQU2DNK4MTR}

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	2026-05-18T01:14:53.241171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de51dfdc645e0ad3bfc9853436ab8c9c7739f4f1a6eb19e4b823d6ab2a5d5817

Aliases

arxiv: 1504.00352 · arxiv_version: 1504.00352v3 · doi: 10.48550/arxiv.1504.00352 · pith_short_12: 3ZI57XDELYFN · pith_short_16: 3ZI57XDELYFNHP6J · pith_short_8: 3ZI57XDE

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/3ZI57XDELYFNHP6JQU2DNK4MTR \
  | 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: de51dfdc645e0ad3bfc9853436ab8c9c7739f4f1a6eb19e4b823d6ab2a5d5817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4cf82377106182d3165f3d5b17fc47fd74006bd90d6872f8ecabb247719d9b3",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-01T19:52:20Z",
    "title_canon_sha256": "8b04cead5543ce5c4a5dc8761485f4c4e1f060f65ceb21a20496f93b52e7feed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00352",
    "kind": "arxiv",
    "version": 3
  }
}