Pith Number

pith:CCNHPF5Z

pith:2014:CCNHPF5ZPDGAIEKX7ATCXMC7L2

not attested not anchored not stored refs pending

From Lorentzian to Galilean (2+1) gravity: Drinfel'd doubles, quantisation and noncommutative spacetimes

Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo

arxiv:1408.3689 v2 · 2014-08-16 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCNHPF5ZPDGAIEKX7ATCXMC7L2}

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	2026-05-18T02:32:38.515978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109a7797b978cc041157f8262bb05f5e90cd2654e928e18b6e853686ccc21fef

Aliases

arxiv: 1408.3689 · arxiv_version: 1408.3689v2 · doi: 10.48550/arxiv.1408.3689 · pith_short_12: CCNHPF5ZPDGA · pith_short_16: CCNHPF5ZPDGAIEKX · pith_short_8: CCNHPF5Z

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/CCNHPF5ZPDGAIEKX7ATCXMC7L2 \
  | 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: 109a7797b978cc041157f8262bb05f5e90cd2654e928e18b6e853686ccc21fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910507cff6a131b446b48b1a3f04b1391f7668f42e95bcb9579824922df98496",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-08-16T01:10:04Z",
    "title_canon_sha256": "e4cd530d21901495a4d33606ff1e4016baf1be01dd51652cb08756e9606d7450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3689",
    "kind": "arxiv",
    "version": 2
  }
}