Pith Number

pith:KBZCNKM6

pith:2012:KBZCNKM6OAF7ZJAULOJXEELFXP

not attested not anchored not stored refs pending

Biorthogonal Quantum Mechanics: Super-Quantum Correlations and Expectation Values without Definite Probabilities

Djordje Minic, Lay Nam Chang, Tatsu Takeuchi, Zachary Lewis

arxiv:1208.5189 v2 · 2012-08-26 · math-ph · gr-qc · hep-th · 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{KBZCNKM6OAF7ZJAULOJXEELFXP}

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	2026-05-18T03:06:51.923923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

507226a99e700bfca4145b93721165bbe2d4e1fc8dfd0c016f19198ff904b34b

Aliases

arxiv: 1208.5189 · arxiv_version: 1208.5189v2 · doi: 10.48550/arxiv.1208.5189 · pith_short_12: KBZCNKM6OAF7 · pith_short_16: KBZCNKM6OAF7ZJAU · pith_short_8: KBZCNKM6

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/KBZCNKM6OAF7ZJAULOJXEELFXP \
  | 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: 507226a99e700bfca4145b93721165bbe2d4e1fc8dfd0c016f19198ff904b34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf2ce5de5e8aa68b6011499453a0e393f9c3b1e550cbe364ed950ba55b2d05c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-26T04:06:43Z",
    "title_canon_sha256": "672c06a25bfcc35e696bd36a7c623934d3802b1323a729f8e40b1382dc340cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5189",
    "kind": "arxiv",
    "version": 2
  }
}