Pith Number

pith:EEQHCBQF

pith:2011:EEQHCBQFA442R3YAYMJTYDNBIF

not attested not anchored not stored refs pending

Quantum groups via Hall algebras of complexes

Tom Bridgeland

arxiv:1111.0745 v1 · 2011-11-03 · 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{EEQHCBQFA442R3YAYMJTYDNBIF}

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	2026-05-18T04:09:37.008153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21207106050739a8ef00c3133c0da1415a5cc62d826e118bb197fece119d1931

Aliases

arxiv: 1111.0745 · arxiv_version: 1111.0745v1 · doi: 10.48550/arxiv.1111.0745 · pith_short_12: EEQHCBQFA442 · pith_short_16: EEQHCBQFA442R3YA · pith_short_8: EEQHCBQF

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/EEQHCBQFA442R3YAYMJTYDNBIF \
  | 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: 21207106050739a8ef00c3133c0da1415a5cc62d826e118bb197fece119d1931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043c041454e051f4a19084964a0bcf8b259020b34a9de3e755e1d087d51d40d7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-03T07:44:19Z",
    "title_canon_sha256": "93fd36d3f6b8c7e56a5f006f79344d8f6421601c1f929dda9241b989e40813b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0745",
    "kind": "arxiv",
    "version": 1
  }
}