Pith Number

pith:N5I75BYI

pith:2013:N5I75BYIEKSXSBTPDFQA7V3US7

not attested not anchored not stored refs pending

Generalized space and linear momentum operators in quantum mechanics

Bruno G. da Costa, Ernesto P. Borges

arxiv:1305.6307 v1 · 2013-05-27 · 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{N5I75BYIEKSXSBTPDFQA7V3US7}

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	2026-05-18T01:49:41.065088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f51fe870822a579066f19600fd77497f545bd5b6b334223dfe51abadc6749f8

Aliases

arxiv: 1305.6307 · arxiv_version: 1305.6307v1 · doi: 10.48550/arxiv.1305.6307 · pith_short_12: N5I75BYIEKSX · pith_short_16: N5I75BYIEKSXSBTP · pith_short_8: N5I75BYI

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/N5I75BYIEKSXSBTPDFQA7V3US7 \
  | 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: 6f51fe870822a579066f19600fd77497f545bd5b6b334223dfe51abadc6749f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f36fd720ebcfd050eb98f4194e15ac0a9a579f70e4483d59fc17b26ebca810",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-27T19:57:03Z",
    "title_canon_sha256": "2aa097e7f6ee289ff10e8a3d885eedc01010ef8afe82684619f22d7fa9ced38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6307",
    "kind": "arxiv",
    "version": 1
  }
}