Pith Number

pith:VJFTN7U4

pith:2013:VJFTN7U4AGQIBBW5YNNJVT2WNS

not attested not anchored not stored refs pending

Equivariant Crossed Modules and Cohomology of Groups with Operators

Nguyen Tien Quang, Pham Thi Cuc

arxiv:1302.4573 v1 · 2013-02-19 · 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{VJFTN7U4AGQIBBW5YNNJVT2WNS}

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	2026-05-18T03:33:12.873952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4b36fe9c01a08086ddc35a9acf566cb4f984f34d0e04534f9ff6b25f3c419e

Aliases

arxiv: 1302.4573 · arxiv_version: 1302.4573v1 · doi: 10.48550/arxiv.1302.4573 · pith_short_12: VJFTN7U4AGQI · pith_short_16: VJFTN7U4AGQIBBW5 · pith_short_8: VJFTN7U4

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/VJFTN7U4AGQIBBW5YNNJVT2WNS \
  | 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: aa4b36fe9c01a08086ddc35a9acf566cb4f984f34d0e04534f9ff6b25f3c419e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c340affe77e8f0ed9f815114e907f02ad5a970bed12d419b1337c80c4936afa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-02-19T10:41:34Z",
    "title_canon_sha256": "c7669076f55ec58192785e379c1539df77ac792e2d32c14f2a574c42904e64f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4573",
    "kind": "arxiv",
    "version": 1
  }
}