Pith Number

pith:7PHT3CCW

pith:2013:7PHT3CCWLE3JSPVJSAARCYNCCY

not attested not anchored not stored refs pending

On the $\kappa$-Dirac Oscillator revisited

E. C. Rodrigues, E. O. Silva, F. M. Andrade, M. M. Ferreira Jr.

arxiv:1312.2973 v2 · 2013-12-10 · 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{7PHT3CCWLE3JSPVJSAARCYNCCY}

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	2026-05-18T02:55:58.700359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcf3d88565936993ea990011161a2161ed6a26127660b4c9e7fb345b885aa01

Aliases

arxiv: 1312.2973 · arxiv_version: 1312.2973v2 · doi: 10.48550/arxiv.1312.2973 · pith_short_12: 7PHT3CCWLE3J · pith_short_16: 7PHT3CCWLE3JSPVJ · pith_short_8: 7PHT3CCW

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/7PHT3CCWLE3JSPVJSAARCYNCCY \
  | 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: fbcf3d88565936993ea990011161a2161ed6a26127660b4c9e7fb345b885aa01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd76460a98e513a24fdcf7cf3443fb7419be5c71f4cb476b1c0f126a7f72c6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-12-10T21:34:18Z",
    "title_canon_sha256": "e3825975e1add9dcbc6733bab84efe76971e6778a953c636e5fa13af550d431e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2973",
    "kind": "arxiv",
    "version": 2
  }
}