Pith Number

pith:7KYTNZHH

pith:1999:7KYTNZHH5XTQCKK7RIH44SLLP2

not attested not anchored not stored refs pending

Small Violations of Statistics

O.W. Greenberg

arxiv:quant-ph/9903069 v1 · 1999-03-19 · quant-ph · hep-ph · hep-th · nucl-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KYTNZHH5XTQCKK7RIH44SLLP2}

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	2026-07-04T14:47:24.676360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab136e4e7ede701295f8a0fce496b7e9e036b26063ad8ecfeb86d71a660c48a

Aliases

arxiv: quant-ph/9903069 · arxiv_version: quant-ph/9903069v1 · doi: 10.48550/arxiv.quant-ph/9903069 · pith_short_12: 7KYTNZHH5XTQ · pith_short_16: 7KYTNZHH5XTQCKK7 · pith_short_8: 7KYTNZHH

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/7KYTNZHH5XTQCKK7RIH44SLLP2 \
  | 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: fab136e4e7ede701295f8a0fce496b7e9e036b26063ad8ecfeb86d71a660c48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79644f8ed3ac231bd7e2a0cbfe6104fcaf7ba81b6b7ffc768fe1cd5b2cc6ed35",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-03-19T22:10:46Z",
    "title_canon_sha256": "31e9c9b6a045a3a81b525679d1f7fe3f4c97b4cb412127114105a8c6057042dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9903069",
    "kind": "arxiv",
    "version": 1
  }
}