Pith Number

pith:YGN3ZDIR

pith:2010:YGN3ZDIRCYU7FQA5X2GYUK3ASS

not attested not anchored not stored refs pending

Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mechanics on Lie Groups and Methods of Group Algebras

A. Martens, B. Go{\l}ubowska, E. E. Ro\.zko, J. J. S{\l}awianowski, V. Kovalchuk

arxiv:1008.0512 v3 · 2010-08-03 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGN3ZDIRCYU7FQA5X2GYUK3ASS}

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	2026-05-18T01:09:23.708170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19bbc8d111629f2c01dbe8d8a2b60948e60e76bddc6d8b4f53d7c0f43ea496f

Aliases

arxiv: 1008.0512 · arxiv_version: 1008.0512v3 · doi: 10.48550/arxiv.1008.0512 · pith_short_12: YGN3ZDIRCYU7 · pith_short_16: YGN3ZDIRCYU7FQA5 · pith_short_8: YGN3ZDIR

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/YGN3ZDIRCYU7FQA5X2GYUK3ASS \
  | 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: c19bbc8d111629f2c01dbe8d8a2b60948e60e76bddc6d8b4f53d7c0f43ea496f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a10bbeb407440b7eb3e54d756029e119e6e3f1e3d6ffbe62d8bd5c72417926",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-03T10:27:36Z",
    "title_canon_sha256": "2c4acc2fe269200ec1e2762d6b9d110bea2a2283784f70adbfd8ebb9e73fe330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0512",
    "kind": "arxiv",
    "version": 3
  }
}