Pith Number

pith:TKPJPXO4

pith:2015:TKPJPXO4LZAIGKIQ6BZLHAVWAX

not attested not anchored not stored refs pending

Negative probability

Andreas Blass, Yuri Gurevich

arxiv:1502.00666 v1 · 2015-02-02 · 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{TKPJPXO4LZAIGKIQ6BZLHAVWAX}

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	2026-05-18T02:28:04.619785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9e97dddc5e40832910f072b382b605c1e48dc574439adf11efb79d5c70bc83

Aliases

arxiv: 1502.00666 · arxiv_version: 1502.00666v1 · doi: 10.48550/arxiv.1502.00666 · pith_short_12: TKPJPXO4LZAI · pith_short_16: TKPJPXO4LZAIGKIQ · pith_short_8: TKPJPXO4

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/TKPJPXO4LZAIGKIQ6BZLHAVWAX \
  | 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: 9a9e97dddc5e40832910f072b382b605c1e48dc574439adf11efb79d5c70bc83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0dc430ffcaf8a6184e28d2509f41d6d7dd1d21fe4bf85a1ac69f70772d8aff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-02-02T22:08:52Z",
    "title_canon_sha256": "92a4d557105ed11ab1856e95f22d51b377f05d7f556aad8e2aa649f981d53e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00666",
    "kind": "arxiv",
    "version": 1
  }
}