Pith Number

pith:REN3PA5K

pith:2014:REN3PA5KFCT3PDXDQDZOQXGZTV

not attested not anchored not stored refs pending

Quantum phase transitions of the Dirac oscillator in a minimal length scenario

L. Menculini, O. Panella, P. Roy

arxiv:1411.5278 v1 · 2014-11-19 · quant-ph · hep-th · 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{REN3PA5KFCT3PDXDQDZOQXGZTV}

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	2026-05-18T01:41:29.090329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891bb783aa28a7b78ee380f2e85cd99d66ade6e3c151ad59b99e26128812bfb8

Aliases

arxiv: 1411.5278 · arxiv_version: 1411.5278v1 · doi: 10.48550/arxiv.1411.5278 · pith_short_12: REN3PA5KFCT3 · pith_short_16: REN3PA5KFCT3PDXD · pith_short_8: REN3PA5K

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/REN3PA5KFCT3PDXDQDZOQXGZTV \
  | 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: 891bb783aa28a7b78ee380f2e85cd99d66ade6e3c151ad59b99e26128812bfb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad510659b24d0097d387ee639787406a283ec8e752ff7cbf7ec37dedfca9434c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-11-19T16:22:03Z",
    "title_canon_sha256": "b4f6a82c67e93f7da0ff35175953268771ab25df75cd81567b10d26aab027fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5278",
    "kind": "arxiv",
    "version": 1
  }
}