Pith Number

pith:MN5EC7MZ

pith:2004:MN5EC7MZLLA33P374VRPQN46L4

not attested not anchored not stored refs pending

Quartic anharmonic many-body oscillator

Alexander V. Turbiner

arxiv:hep-th/0407100 v1 · 2004-07-13 · hep-th · cond-mat.stat-mech · math-ph · math.MP · physics.comp-ph · 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{MN5EC7MZLLA33P374VRPQN46L4}

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	2026-05-18T00:57:19.110523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637a417d995ac1bdbf7fe562f8379e5f1bf174657c0f574f5e3446cad4652482

Aliases

arxiv: hep-th/0407100 · arxiv_version: hep-th/0407100v1 · doi: 10.48550/arxiv.hep-th/0407100 · pith_short_12: MN5EC7MZLLA3 · pith_short_16: MN5EC7MZLLA33P37 · pith_short_8: MN5EC7MZ

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/MN5EC7MZLLA33P374VRPQN46L4 \
  | 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: 637a417d995ac1bdbf7fe562f8379e5f1bf174657c0f574f5e3446cad4652482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "733f7cd916d3e9124e61b6fa7e190ceacf86087d497e14eadf64168f59aff7e0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-07-13T10:20:26Z",
    "title_canon_sha256": "259e53858ae6ecb98cb85c1f644d9ef79ac7f3561f281bd9fa7fc5783b41b933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0407100",
    "kind": "arxiv",
    "version": 1
  }
}