Pith Number

pith:WVUEJLFM

pith:2011:WVUEJLFM7X2T4CAEUNA6S6SQJT

not attested not anchored not stored refs pending

Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map

Leonardo Castellani, Paolo Aschieri

arxiv:1111.4822 v2 · 2011-11-21 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVUEJLFM7X2T4CAEUNA6S6SQJT}

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	2026-05-18T01:59:27.614580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b56844acacfdf53e0804a341e97a504cd34c75ea24c4b5da1ba86caafd999ae5

Aliases

arxiv: 1111.4822 · arxiv_version: 1111.4822v2 · doi: 10.48550/arxiv.1111.4822 · pith_short_12: WVUEJLFM7X2T · pith_short_16: WVUEJLFM7X2T4CAE · pith_short_8: WVUEJLFM

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/WVUEJLFM7X2T4CAEUNA6S6SQJT \
  | 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: b56844acacfdf53e0804a341e97a504cd34c75ea24c4b5da1ba86caafd999ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2dc5947aa882b2ce7de977f6519b56eff1cbeac4069e400fe11cf715becc5f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-21T10:44:20Z",
    "title_canon_sha256": "59fb26c7b81c03241c451249ec5fb2ba9fd8d28692626d03273599aed088a36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4822",
    "kind": "arxiv",
    "version": 2
  }
}