Pith Number

pith:HWYKWHVU

pith:2024:HWYKWHVUHQRMMXNAKYNUE6BMS7

not attested not anchored not stored refs pending

Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models

A. Pacho{\l}

arxiv:2409.05110 v3 · 2024-09-08 · hep-th · gr-qc · 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{HWYKWHVUHQRMMXNAKYNUE6BMS7}

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	2026-07-05T09:59:18.811109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db0ab1eb43c22c65da0561b42782c97f66f28dc49b4608d0c88399005c5466e

Aliases

arxiv: 2409.05110 · arxiv_version: 2409.05110v3 · doi: 10.48550/arxiv.2409.05110 · pith_short_12: HWYKWHVUHQRM · pith_short_16: HWYKWHVUHQRMMXNA · pith_short_8: HWYKWHVU

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/HWYKWHVUHQRMMXNAKYNUE6BMS7 \
  | 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: 3db0ab1eb43c22c65da0561b42782c97f66f28dc49b4608d0c88399005c5466e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9de7561357da170da4d47fafc7a76d5e37a00b2c19918dfbb1c0afa916c6920",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-09-08T14:43:05Z",
    "title_canon_sha256": "4222723b0da7d27409214e1f0419f42a385196b36e7e531f7db9852ab7a643de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05110",
    "kind": "arxiv",
    "version": 3
  }
}