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Pith Number

pith:KZYFPWAY

pith:2008:KZYFPWAYDVOD3WACLYO2UV7NJ7
not attested not anchored not stored refs pending

Free-fall in a uniform gravitational field in non-commutative quantum mechanics

A. G. Martins, K. H. C. Castello-Branco

arxiv:0803.0981 v2 · 2008-03-06 · hep-th · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KZYFPWAYDVOD3WACLYO2UV7NJ7}

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 2026-05-18T04:20:59.571353Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

567057d8181d5c3dd8025e1daa57ed4fea809bc4aa4b3c20231498310959d222

Aliases

arxiv: 0803.0981 · arxiv_version: 0803.0981v2 · doi: 10.48550/arxiv.0803.0981 · pith_short_12: KZYFPWAYDVOD · pith_short_16: KZYFPWAYDVOD3WAC · pith_short_8: KZYFPWAY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZYFPWAYDVOD3WACLYO2UV7NJ7 \
  | 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: 567057d8181d5c3dd8025e1daa57ed4fea809bc4aa4b3c20231498310959d222
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "498ba771baa7b540ef8ca472206bbc81d143f5ac3934ff5910ae5d6d3b129196",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-03-06T21:13:52Z",
    "title_canon_sha256": "dd77bec2ffafd46c3385e8c1ea23b6aff323e92dfe60f7845c59b8fb11aecb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0981",
    "kind": "arxiv",
    "version": 2
  }
}