Pith Number

pith:I3GCX45O

pith:2010:I3GCX45OJG3WLVBEVFOOLSPE7S

not attested not anchored not stored refs pending

Cohomological classification of braided $Ann$-categories

Dang Dinh Hanh, Nguyen Tien Quang

arxiv:1012.1415 v1 · 2010-12-07 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3GCX45OJG3WLVBEVFOOLSPE7S}

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	2026-05-18T04:34:01.098966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46cc2bf3ae49b765d424a95ce5c9e4fcb14f6b1e7ea301c9b5b3c67cea88a1c5

Aliases

arxiv: 1012.1415 · arxiv_version: 1012.1415v1 · doi: 10.48550/arxiv.1012.1415 · pith_short_12: I3GCX45OJG3W · pith_short_16: I3GCX45OJG3WLVBE · pith_short_8: I3GCX45O

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/I3GCX45OJG3WLVBEVFOOLSPE7S \
  | 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: 46cc2bf3ae49b765d424a95ce5c9e4fcb14f6b1e7ea301c9b5b3c67cea88a1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28e807273466d597d8d4cab1a83a1cc739ed391d9ecd065e9fe5af8fb0f99f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-12-07T07:18:39Z",
    "title_canon_sha256": "cf82eef2c56e1261b7e8c18c29f0291a183a37ff3431b42027b5a2d7c7e27687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1415",
    "kind": "arxiv",
    "version": 1
  }
}