Pith Number

pith:W3O2X6JO

pith:2012:W3O2X6JOCVQDGCIQKGYLIX3VHA

not attested not anchored not stored refs pending

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes

Alexander Schenkel

arxiv:1210.1115 v1 · 2012-10-03 · math-ph · gr-qc · hep-th · 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{W3O2X6JOCVQDGCIQKGYLIX3VHA}

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	2026-05-18T03:44:05.437048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ddabf92e156033091051b0b45f75380a7cb72beab55f8ffc994a7741b1f278

Aliases

arxiv: 1210.1115 · arxiv_version: 1210.1115v1 · doi: 10.48550/arxiv.1210.1115 · pith_short_12: W3O2X6JOCVQD · pith_short_16: W3O2X6JOCVQDGCIQ · pith_short_8: W3O2X6JO

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/W3O2X6JOCVQDGCIQKGYLIX3VHA \
  | 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: b6ddabf92e156033091051b0b45f75380a7cb72beab55f8ffc994a7741b1f278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86534f08d42fa16f128efbb9c6b9a852a38fde0a98b61db102e726c00e93ad84",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-03T14:12:57Z",
    "title_canon_sha256": "9b61941ab54603f1aad0944ba7a64530370644104beeedbf26f10e634d63eb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1115",
    "kind": "arxiv",
    "version": 1
  }
}