Pith Number

pith:Q23QTACD

pith:2006:Q23QTACDG7PBHQHZ5CQHAPBB2D

not attested not anchored not stored refs pending

sl(2,R) symmetry and solvable multiboson systems

Anatol Odzijewicz, Aneta Slizewska, Maciej Horowski, Tomasz Golinski

arxiv:math-ph/0608023 v2 · 2006-08-08 · 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{Q23QTACDG7PBHQHZ5CQHAPBB2D}

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	2026-05-18T04:41:36.046944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b709804337de13c0f9e8a0703c21d0e460bfbf8298b26560e046a8cade7dcd

Aliases

arxiv: math-ph/0608023 · arxiv_version: math-ph/0608023v2 · doi: 10.48550/arxiv.math-ph/0608023 · pith_short_12: Q23QTACDG7PB · pith_short_16: Q23QTACDG7PBHQHZ · pith_short_8: Q23QTACD

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/Q23QTACDG7PBHQHZ5CQHAPBB2D \
  | 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: 86b709804337de13c0f9e8a0703c21d0e460bfbf8298b26560e046a8cade7dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5afc4405d1d6ff96a45850bd720199d3ef890252711dfc95d7c13739532ab22b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-08-08T14:59:40Z",
    "title_canon_sha256": "9e0557b1fe5b20137d80ba0396e406faa82fa28c6b40476b9d8e055ccfdafce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0608023",
    "kind": "arxiv",
    "version": 2
  }
}