Pith Number

pith:O5P2WQ2U

pith:2013:O5P2WQ2UKIJN2AEPRAGXZWY4H7

not attested not anchored not stored refs pending

Braided equivariant crossed modules and cohomology of $\Gamma $-modules

Che Thi Kim Phung, Nguyen Tien Quang, Pham Thi Cuc

arxiv:1304.5909 v1 · 2013-04-22 · 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{O5P2WQ2UKIJN2AEPRAGXZWY4H7}

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	2026-05-18T03:27:23.805669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775fab43545212dd008f880d7cdb1c3fe91885015d9f0160ccb7bea5444abb31

Aliases

arxiv: 1304.5909 · arxiv_version: 1304.5909v1 · doi: 10.48550/arxiv.1304.5909 · pith_short_12: O5P2WQ2UKIJN · pith_short_16: O5P2WQ2UKIJN2AEP · pith_short_8: O5P2WQ2U

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/O5P2WQ2UKIJN2AEPRAGXZWY4H7 \
  | 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: 775fab43545212dd008f880d7cdb1c3fe91885015d9f0160ccb7bea5444abb31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac761875a52359df51c6c072dac4035178dd3a18b892ba7f818c311704fe088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-04-22T10:32:03Z",
    "title_canon_sha256": "731cc73dc69313e4dbe78a0207a3f20fcbdf34cb4a128cec7b2c0103d0e87a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5909",
    "kind": "arxiv",
    "version": 1
  }
}