Pith Number

pith:VFIWIL7U

pith:2012:VFIWIL7U5KK47TW7Z2WVLBMQZX

not attested not anchored not stored refs pending

The semi-classical Maupertuis-Jacobi correspondence: stable and unstable spectra

Michel Rouleux, Sergey Dobrokhotov

arxiv:1206.5409 v1 · 2012-06-23 · 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{VFIWIL7U5KK47TW7Z2WVLBMQZX}

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	2026-05-18T03:52:40.187877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a951642ff4ea95cfcedfcead558590cdd98e62b399ba16274aa140024a9264cb

Aliases

arxiv: 1206.5409 · arxiv_version: 1206.5409v1 · doi: 10.48550/arxiv.1206.5409 · pith_short_12: VFIWIL7U5KK4 · pith_short_16: VFIWIL7U5KK47TW7 · pith_short_8: VFIWIL7U

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/VFIWIL7U5KK47TW7Z2WVLBMQZX \
  | 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: a951642ff4ea95cfcedfcead558590cdd98e62b399ba16274aa140024a9264cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5221c35b2c61981d041dfcf09040dc73fabcabac8b3b2e23165b53287662a8d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-23T16:35:57Z",
    "title_canon_sha256": "8af4eb67c08750b558f9bdf2e12c1e99bf853430f4752185f46e0b135a238d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5409",
    "kind": "arxiv",
    "version": 1
  }
}