Pith Number

pith:J5FNB7PG

pith:2018:J5FNB7PG7SP6Q64K2OFHM4CWFN

not attested not anchored not stored refs pending

Negative probabilities, II: What they are and what they are for

Andreas Blass, Yuri Gurevich

arxiv:1807.10382 v1 · 2018-07-26 · 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{J5FNB7PG7SP6Q64K2OFHM4CWFN}

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	2026-05-18T00:09:40.784842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4ad0fde6fc9fe87b8ad38a7670562b707238c7b9d999a4a4387eb6b71ffd0a

Aliases

arxiv: 1807.10382 · arxiv_version: 1807.10382v1 · doi: 10.48550/arxiv.1807.10382 · pith_short_12: J5FNB7PG7SP6 · pith_short_16: J5FNB7PG7SP6Q64K · pith_short_8: J5FNB7PG

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/J5FNB7PG7SP6Q64K2OFHM4CWFN \
  | 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: 4f4ad0fde6fc9fe87b8ad38a7670562b707238c7b9d999a4a4387eb6b71ffd0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443b56d6f685a2019c3e4eef761f4382533b25554766a5a4d0cda3ac9b896639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-26T22:03:30Z",
    "title_canon_sha256": "e0f90ee9d7a0c7860060b7f9093cce42f8e184fc4a3d3a2e6db5f7e01bed1ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10382",
    "kind": "arxiv",
    "version": 1
  }
}