Pith Number

pith:5NOMQDYG

pith:2004:5NOMQDYGEK3JP6ARHIM2NY3WZB

not attested not anchored not stored refs pending

Finite lifetime eigenfunctions of coupled systems of harmonic oscillators

Lyonell Boulton, Maria Moran, Stefania Marcantognini

arxiv:math/0403187 v2 · 2004-03-10 · math.SP · 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{5NOMQDYGEK3JP6ARHIM2NY3WZB}

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	2026-05-18T01:05:26.521177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5cc80f0622b697f8113a19a6e376c84a8d27b9089d96ef7d2443dcae5d46a7

Aliases

arxiv: math/0403187 · arxiv_version: math/0403187v2 · doi: 10.48550/arxiv.math/0403187 · pith_short_12: 5NOMQDYGEK3J · pith_short_16: 5NOMQDYGEK3JP6AR · pith_short_8: 5NOMQDYG

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/5NOMQDYGEK3JP6ARHIM2NY3WZB \
  | 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: eb5cc80f0622b697f8113a19a6e376c84a8d27b9089d96ef7d2443dcae5d46a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad1c32e4cab2e2dd3dcf078da28ece6b70ab462c7972ff494d44ef5ea0ab980",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2004-03-10T21:25:14Z",
    "title_canon_sha256": "83118d23b4bfc11043341232d8e0eab24062549ce66930c965cc3aefec8cbee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403187",
    "kind": "arxiv",
    "version": 2
  }
}