Pith Number

pith:7FRNA4IA

pith:2016:7FRNA4IAHE2JQYB6DZWRV2JEEU

not attested not anchored not stored refs pending

Generalized relativistic harmonic oscillator in minimal length quantum mechanics

Angel E. Obispo, Luis B. Castro

arxiv:1612.01552 v2 · 2016-12-05 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FRNA4IAHE2JQYB6DZWRV2JEEU}

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	2026-05-18T00:42:12.612921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f962d07100393498603e1e6d1ae9242526d55b46baf058f37fcfba3084fadf36

Aliases

arxiv: 1612.01552 · arxiv_version: 1612.01552v2 · doi: 10.48550/arxiv.1612.01552 · pith_short_12: 7FRNA4IAHE2J · pith_short_16: 7FRNA4IAHE2JQYB6 · pith_short_8: 7FRNA4IA

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/7FRNA4IAHE2JQYB6DZWRV2JEEU \
  | 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: f962d07100393498603e1e6d1ae9242526d55b46baf058f37fcfba3084fadf36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e192c867985406063987e34fc157cd321ccaad1e82e4152948004e01771d25f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-05T21:18:58Z",
    "title_canon_sha256": "d0e50d08a7abed464effa400766ce53d54900f35d4231d51ce4b53d01e25a493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01552",
    "kind": "arxiv",
    "version": 2
  }
}