Pith Number

pith:ZVI5LBS7

pith:2019:ZVI5LBS7EHJYCRMBOVOKHZS2NR

not attested not anchored not stored refs pending

Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras

Fan Xu, Haicheng Zhang

arxiv:1901.00257 v1 · 2019-01-02 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVI5LBS7EHJYCRMBOVOKHZS2NR}

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	2026-05-17T23:57:06.570613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd51d5865f21d3814581755ca3e65a6c449aa0d67f36cb422174af7523c76d8a

Aliases

arxiv: 1901.00257 · arxiv_version: 1901.00257v1 · doi: 10.48550/arxiv.1901.00257 · pith_short_12: ZVI5LBS7EHJY · pith_short_16: ZVI5LBS7EHJYCRMB · pith_short_8: ZVI5LBS7

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/ZVI5LBS7EHJYCRMBOVOKHZS2NR \
  | 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: cd51d5865f21d3814581755ca3e65a6c449aa0d67f36cb422174af7523c76d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187bd620f70f41ecc53a43d02d94ce48e94536dc7990159c53a584e8d1fec6b1",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-01-02T03:54:32Z",
    "title_canon_sha256": "04f5268edce288093017faebb622ed056513377c0958dc2a5bf946ef57acd433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00257",
    "kind": "arxiv",
    "version": 1
  }
}