Pith Number

pith:J4QXT5PU

pith:2010:J4QXT5PUHM4J4WCACEZLG2YZRK

not attested not anchored not stored refs pending

Spectral Properties of the Massless Relativistic Harmonic Oscillator

Jacek Malecki, Jozsef Lorinczi

arxiv:1006.3665 v1 · 2010-06-18 · math.SP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4QXT5PUHM4J4WCACEZLG2YZRK}

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	2026-05-18T03:40:51.670851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2179f5f43b389e58401132b36b198aa6ff0be78a781c43888c0627bd45204c

Aliases

arxiv: 1006.3665 · arxiv_version: 1006.3665v1 · doi: 10.48550/arxiv.1006.3665 · pith_short_12: J4QXT5PUHM4J · pith_short_16: J4QXT5PUHM4J4WCA · pith_short_8: J4QXT5PU

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/J4QXT5PUHM4J4WCACEZLG2YZRK \
  | 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: 4f2179f5f43b389e58401132b36b198aa6ff0be78a781c43888c0627bd45204c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebf6c0854cebac95d7822d3376fd32e3ca68138e235decaf5711029e282e7ea",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-06-18T11:15:54Z",
    "title_canon_sha256": "36bc3e7c7a6f1a8ce867f298a861a96ff67a4e8d291a5fdef8a327aab8655b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3665",
    "kind": "arxiv",
    "version": 1
  }
}