Pith Number

pith:4UGHL7LV

pith:2009:4UGHL7LVWSO4NDRFLHDJLTXFUQ

not attested not anchored not stored refs pending

The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime

Naoki Sasakura, Yuya Sasai

arxiv:0902.3050 v3 · 2009-02-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UGHL7LVWSO4NDRFLHDJLTXFUQ}

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	2026-05-18T02:35:01.053691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50c75fd75b49dc68e2559c695cee5a43d178899c716688d765e4f0f48eb4e03

Aliases

arxiv: 0902.3050 · arxiv_version: 0902.3050v3 · doi: 10.48550/arxiv.0902.3050 · pith_short_12: 4UGHL7LVWSO4 · pith_short_16: 4UGHL7LVWSO4NDRF · pith_short_8: 4UGHL7LV

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/4UGHL7LVWSO4NDRFLHDJLTXFUQ \
  | 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: e50c75fd75b49dc68e2559c695cee5a43d178899c716688d765e4f0f48eb4e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a65273dd3d7c29071e96ab1c6d7bb637e185ea62b5c88fe493d74b0fa97b602f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-18T05:43:45Z",
    "title_canon_sha256": "3204fb7e4175d9ca9792c8c23e518a94f69d5cd26feb2f5b6cd1755ef25081fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3050",
    "kind": "arxiv",
    "version": 3
  }
}