Pith Number

pith:ODDCJHFP

pith:2012:ODDCJHFPKNO2X3ENLZLKSGMD3F

not attested not anchored not stored refs pending

Duality functors for quantum groupoids

Fabio Gavarini, Sophie Chemla

arxiv:1211.3773 v5 · 2012-11-15 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODDCJHFPKNO2X3ENLZLKSGMD3F}

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	2026-05-18T01:38:54.489277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c6249caf535dabec8d5e56a91983d97c381fd2cb795e58a0256581bc830db5

Aliases

arxiv: 1211.3773 · arxiv_version: 1211.3773v5 · doi: 10.48550/arxiv.1211.3773 · pith_short_12: ODDCJHFPKNO2 · pith_short_16: ODDCJHFPKNO2X3EN · pith_short_8: ODDCJHFP

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/ODDCJHFPKNO2X3ENLZLKSGMD3F \
  | 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: 70c6249caf535dabec8d5e56a91983d97c381fd2cb795e58a0256581bc830db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc3ab70ab7192761cc38b796d8336916e12b886f8269dc029c237dbd808fef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-11-15T22:56:02Z",
    "title_canon_sha256": "f361cd8bade294f44b26f2b7493a28ee90c0697530334f60d1f069a4c35fdf73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3773",
    "kind": "arxiv",
    "version": 5
  }
}