Pith Number

pith:B5M3VJIF

pith:2012:B5M3VJIFHEQ7TCPLBD5FQSQB5S

not attested not anchored not stored refs pending

Negative Probabilities, Fine's Theorem and Linear Positivity

J.J.Halliwell, J.M.Yearsley

arxiv:1210.6870 v3 · 2012-10-25 · 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{B5M3VJIFHEQ7TCPLBD5FQSQB5S}

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	2026-05-18T01:53:37.636391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f59baa5053921f989eb08fa584a01ec84691bb4b5f795b1771eb6af4e66ff18

Aliases

arxiv: 1210.6870 · arxiv_version: 1210.6870v3 · doi: 10.48550/arxiv.1210.6870 · pith_short_12: B5M3VJIFHEQ7 · pith_short_16: B5M3VJIFHEQ7TCPL · pith_short_8: B5M3VJIF

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/B5M3VJIFHEQ7TCPLBD5FQSQB5S \
  | 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: 0f59baa5053921f989eb08fa584a01ec84691bb4b5f795b1771eb6af4e66ff18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c40d8964503cb912442cc82811dca8e2ed31af05307a0d186810bdbfe9516a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-25T15:12:03Z",
    "title_canon_sha256": "4b129294bb1a5e1fe081c437ecff43f4e265c61fe1a024bee605e474fa5f36f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6870",
    "kind": "arxiv",
    "version": 3
  }
}