Pith Number

pith:CLBBIJKF

pith:2012:CLBBIJKFWQHAN62OJEMVRRBQED

not attested not anchored not stored refs pending

Chiral differential operators: formal loop group actions and associated modules

Pokman Cheung

arxiv:1205.7089 v2 · 2012-05-31 · math.QA · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLBBIJKFWQHAN62OJEMVRRBQED}

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	2026-05-18T03:07:41.359982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c2142545b40e06fb4e491958c43020f552e0448317295e2c908749d31ffcdb

Aliases

arxiv: 1205.7089 · arxiv_version: 1205.7089v2 · doi: 10.48550/arxiv.1205.7089 · pith_short_12: CLBBIJKFWQHA · pith_short_16: CLBBIJKFWQHAN62O · pith_short_8: CLBBIJKF

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/CLBBIJKFWQHAN62OJEMVRRBQED \
  | 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: 12c2142545b40e06fb4e491958c43020f552e0448317295e2c908749d31ffcdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83a07a3dd15203af6bb92d032f94957b14684f7fd3022446c5ffea7df10e311",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-31T19:48:43Z",
    "title_canon_sha256": "d6b84e5c62a6f9454918bfce6896c067f2bafa4bac355e5ad9dc60ae9631f3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7089",
    "kind": "arxiv",
    "version": 2
  }
}