Pith Number

pith:GEOATEI7

pith:2011:GEOATEI7NHJRZDH3KVT6THF6WU

not attested not anchored not stored refs pending

On the lattice structure of probability spaces in quantum mechanics

Angel Plastino, C\'esar Massri, Federico Holik, Leandro Zuberman

arxiv:1112.4616 v1 · 2011-12-20 · 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{GEOATEI7NHJRZDH3KVT6THF6WU}

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	2026-05-18T01:59:04.836199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311c09911f69d31c8cfb5567e99cbeb514e045e073b7fe3d6456633699a956d7

Aliases

arxiv: 1112.4616 · arxiv_version: 1112.4616v1 · doi: 10.48550/arxiv.1112.4616 · pith_short_12: GEOATEI7NHJR · pith_short_16: GEOATEI7NHJRZDH3 · pith_short_8: GEOATEI7

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/GEOATEI7NHJRZDH3KVT6THF6WU \
  | 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: 311c09911f69d31c8cfb5567e99cbeb514e045e073b7fe3d6456633699a956d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201bc4115a884459ea12b70070cc51f2d0aa02ba2735c1d997bbcfec9437d738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-20T09:23:26Z",
    "title_canon_sha256": "ce80e526721314b0dac727d91d58b8d0909697c11fbcbe0c25a43443130d8eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4616",
    "kind": "arxiv",
    "version": 1
  }
}