Pith Number

pith:UKEAI2JI

pith:2010:UKEAI2JI5DZGOROLD6HWVRYEJC

not attested not anchored not stored refs pending

Lie Algebra Quantization by the Star Product

Takao Koikawa

arxiv:1011.3289 v1 · 2010-11-15 · 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{UKEAI2JI5DZGOROLD6HWVRYEJC}

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	2026-05-18T04:35:56.185033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a288046928e8f26745cb1f8f6ac7044882ad303268ad1ea77ccbfa77a63f96ee

Aliases

arxiv: 1011.3289 · arxiv_version: 1011.3289v1 · doi: 10.48550/arxiv.1011.3289 · pith_short_12: UKEAI2JI5DZG · pith_short_16: UKEAI2JI5DZGOROL · pith_short_8: UKEAI2JI

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/UKEAI2JI5DZGOROLD6HWVRYEJC \
  | 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: a288046928e8f26745cb1f8f6ac7044882ad303268ad1ea77ccbfa77a63f96ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae1da41eec66912d32d8c9a31e581d9c8ee14daf476718dc66668e4767f5be9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-15T04:57:53Z",
    "title_canon_sha256": "2527e2bf7bde982f30c0f0e28cac9facd7f2547643b6fdaea624f1fb968e9990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3289",
    "kind": "arxiv",
    "version": 1
  }
}