Pith Number

pith:DULJHZRU

pith:2011:DULJHZRUP7WEYOSS6BZ7A6RM4S

not attested not anchored not stored refs pending

Integrable relativistic systems given by Hamiltonians with momentum-spin-orbit coupling

Alina Dobrogowska, Anatol Odzijewicz

arxiv:1106.4480 v1 · 2011-06-22 · math-ph · 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{DULJHZRUP7WEYOSS6BZ7A6RM4S}

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	2026-05-18T02:01:31.999654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1693e6347fec4c3a52f073f07a2ce4964704c0295a1cea54b915354af41756

Aliases

arxiv: 1106.4480 · arxiv_version: 1106.4480v1 · doi: 10.48550/arxiv.1106.4480 · pith_short_12: DULJHZRUP7WE · pith_short_16: DULJHZRUP7WEYOSS · pith_short_8: DULJHZRU

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/DULJHZRUP7WEYOSS6BZ7A6RM4S \
  | 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: 1d1693e6347fec4c3a52f073f07a2ce4964704c0295a1cea54b915354af41756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ba75874debd4cb0746c05e903fe3b3040d6db663a564b95afe19c319cfa014",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-22T15:28:39Z",
    "title_canon_sha256": "4e27f0f282e9f16776cd361515a6651adaf4390ebb027bc715fb1c01c32196f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4480",
    "kind": "arxiv",
    "version": 1
  }
}