Pith Number

pith:V7WXVZPV

pith:2013:V7WXVZPV6RAZLR3GJ272S33FHD

not attested not anchored not stored refs pending

The velocity operator in quantum mechanics in noncommutative space

Peter Presnajder, Samuel Kovacik

arxiv:1309.4592 v1 · 2013-09-18 · 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{V7WXVZPV6RAZLR3GJ272S33FHD}

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

Noncommutative Gauge Theories and Gravity

Receipt and verification

First computed	2026-05-18T01:47:35.982746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afed7ae5f5f44195c7664ebfa96f6538c7ec4ead4104897581d444e3a416703e

Aliases

arxiv: 1309.4592 · arxiv_version: 1309.4592v1 · doi: 10.48550/arxiv.1309.4592 · pith_short_12: V7WXVZPV6RAZ · pith_short_16: V7WXVZPV6RAZLR3G · pith_short_8: V7WXVZPV

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/V7WXVZPV6RAZLR3GJ272S33FHD \
  | 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: afed7ae5f5f44195c7664ebfa96f6538c7ec4ead4104897581d444e3a416703e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20525f8bfdd50197cfa1eea66ec71219edd7dee9dd9941e7789e215dcd3af1a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-18T09:34:03Z",
    "title_canon_sha256": "bfe83e1d28d73ecf6efcd58c27866d1deb757e93f9fac8bc0e6195162e16ded7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4592",
    "kind": "arxiv",
    "version": 1
  }
}