Pith Number

pith:XVJLY44X

pith:2016:XVJLY44XPVSV4UE7RAM66PAHY3

not attested not anchored not stored refs pending

The geometry of real reducible polarizations in quantum mechanics

Carlos Tejero Prieto, Raffaele Vitolo

arxiv:1608.00031 v1 · 2016-07-29 · math-ph · math.DG · math.MP · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVJLY44XPVSV4UE7RAM66PAHY3}

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	2026-05-18T00:49:52.003271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd52bc73977d655e509f8819ef3c07c6c487b6c1705a862e199e7f1479e331ac

Aliases

arxiv: 1608.00031 · arxiv_version: 1608.00031v1 · doi: 10.48550/arxiv.1608.00031 · pith_short_12: XVJLY44XPVSV · pith_short_16: XVJLY44XPVSV4UE7 · pith_short_8: XVJLY44X

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/XVJLY44XPVSV4UE7RAM66PAHY3 \
  | 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: bd52bc73977d655e509f8819ef3c07c6c487b6c1705a862e199e7f1479e331ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5506d84b9d929a3c104e111dee2911c1df601c644b23ba6d81cacc4980e84674",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-29T21:12:07Z",
    "title_canon_sha256": "b2af29393a162f995e4b90cbe2d30d6eaeb106e5b086bfea5d64fea97c490edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00031",
    "kind": "arxiv",
    "version": 1
  }
}