Pith Number

pith:A2JMJ25X

pith:2006:A2JMJ25X7SQX32KMTKAKJPME6R

not attested not anchored not stored refs pending

Topological quantization of the harmonic oscillator

Francisco Nettel, Hernando Quevedo

arxiv:math-ph/0612038 v1 · 2006-12-13 · math-ph · gr-qc · 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{A2JMJ25X7SQX32KMTKAKJPME6R}

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.

Cited by

1 paper in Pith

Cosmic inflation in an extended non-commutative foliated quantum gravity: the wave function of the universe

Receipt and verification

First computed	2026-07-04T14:57:58.502888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0692c4ebb7fca17de94c9a80a4bd84f44cef933856540921c6cbdcc1d16c04bd

Aliases

arxiv: math-ph/0612038 · arxiv_version: math-ph/0612038v1 · doi: 10.48550/arxiv.math-ph/0612038 · pith_short_12: A2JMJ25X7SQX · pith_short_16: A2JMJ25X7SQX32KM · pith_short_8: A2JMJ25X

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/A2JMJ25X7SQX32KMTKAKJPME6R \
  | 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: 0692c4ebb7fca17de94c9a80a4bd84f44cef933856540921c6cbdcc1d16c04bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6894b3c4dadb7327b07f3165f5823183a14a2c56fc0094d88b7171cad904f0",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-12-13T10:43:13Z",
    "title_canon_sha256": "8bd1d66632a35accaf2175d7067ef0514e948b17d96c8acb06c76a925007cb7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0612038",
    "kind": "arxiv",
    "version": 1
  }
}