Pith Number

pith:S3SRAVLU

pith:2011:S3SRAVLUKL5INZT7TFQU2ALF3N

not attested not anchored not stored refs pending

Deepening the vector coherent state analysis: Revisiting the harmonic oscillator

I. Aremua, J. Ben Geloun, M. N. Hounkonnou

arxiv:1109.4328 v1 · 2011-09-20 · 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{S3SRAVLUKL5INZT7TFQU2ALF3N}

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	2026-05-18T04:12:43.535482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e510557452fa86e67f99614d0165db67847d847ff863d9006b9373b8a36062

Aliases

arxiv: 1109.4328 · arxiv_version: 1109.4328v1 · doi: 10.48550/arxiv.1109.4328 · pith_short_12: S3SRAVLUKL5I · pith_short_16: S3SRAVLUKL5INZT7 · pith_short_8: S3SRAVLU

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/S3SRAVLUKL5INZT7TFQU2ALF3N \
  | 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: 96e510557452fa86e67f99614d0165db67847d847ff863d9006b9373b8a36062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d32f198cdfd479bae4c37896d968e17c192aa266644676d44dc0c70dd7c1e4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-20T15:39:43Z",
    "title_canon_sha256": "1e41adfbd8afe56a2abd786203b519685446983fc145cdd71c447dfd53830f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4328",
    "kind": "arxiv",
    "version": 1
  }
}