Pith Number

pith:LZYXCZZK

pith:2002:LZYXCZZK2AAWMUJUQMUSOKK4YZ

not attested not anchored not stored refs pending

Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation

Djordje Minic, Lay Nam Chang, Naotoshi Okamura, Saifuddin Rayyan, Sandor Benczik, Tatsu Takeuchi

arxiv:hep-th/0204049 v2 · 2002-04-04 · hep-th · astro-ph · hep-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{LZYXCZZK2AAWMUJUQMUSOKK4YZ}

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

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime

Receipt and verification

First computed	2026-07-04T15:18:28.445167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7171672ad001665134832927295cc656bc96c348daa2c3f2696f21120e0a83

Aliases

arxiv: hep-th/0204049 · arxiv_version: hep-th/0204049v2 · doi: 10.48550/arxiv.hep-th/0204049 · pith_short_12: LZYXCZZK2AAW · pith_short_16: LZYXCZZK2AAWMUJU · pith_short_8: LZYXCZZK

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/LZYXCZZK2AAWMUJUQMUSOKK4YZ \
  | 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: 5e7171672ad001665134832927295cc656bc96c348daa2c3f2696f21120e0a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53f70a29ef93b4456670d33afa4491829b4a377af63ee40c9f938a3915c3ed10",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-04-04T20:11:29Z",
    "title_canon_sha256": "49853b9a1393cb68f6557b5c16947da7349db3492a0eeae91719114b6bd4437d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0204049",
    "kind": "arxiv",
    "version": 2
  }
}