Pith Number

pith:QAVJGMQB

pith:2011:QAVJGMQB4TNEZMFJR34ZD4GCVI

not attested not anchored not stored refs pending

From Quantum $A_N$ (Calogero) to $H_4$ (Rational) Model

Alexander V. Turbiner

arxiv:1106.5017 v2 · 2011-06-24 · math-ph · math.MP · nlin.SI · 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{QAVJGMQB4TNEZMFJR34ZD4GCVI}

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	2026-05-18T04:18:03.840494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802a933201e4da4cb0a98ef991f0c2aa304c9790085d74d0a7aab3b74e05cb12

Aliases

arxiv: 1106.5017 · arxiv_version: 1106.5017v2 · doi: 10.48550/arxiv.1106.5017 · pith_short_12: QAVJGMQB4TNE · pith_short_16: QAVJGMQB4TNEZMFJ · pith_short_8: QAVJGMQB

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/QAVJGMQB4TNEZMFJR34ZD4GCVI \
  | 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: 802a933201e4da4cb0a98ef991f0c2aa304c9790085d74d0a7aab3b74e05cb12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69f04e0ed5680d24883305255bcf4f906be0e0a5d691d9bb2239818f1fa4e44",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-24T17:11:17Z",
    "title_canon_sha256": "e1770c35a8172b887af159bdfeaefe6e1bfceacdab74b99690d2110e6751fa5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5017",
    "kind": "arxiv",
    "version": 2
  }
}