Pith Number

pith:TIUJAQFU

pith:2004:TIUJAQFU2MQ36Z6BBUJDHCHQHR

not attested not anchored not stored refs pending

Less (precision) is more (information): quantum information in fuzzy probability theory

Paul Busch

arxiv:quant-ph/0401027 v2 · 2004-01-07 · 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{TIUJAQFU2MQ36Z6BBUJDHCHQHR}

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	2026-05-18T04:32:09.732087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a289040b4d321bf67c10d123388f03c78c201998d01ffc19997c25e0d7362c7

Aliases

arxiv: quant-ph/0401027 · arxiv_version: quant-ph/0401027v2 · doi: 10.48550/arxiv.quant-ph/0401027 · pith_short_12: TIUJAQFU2MQ3 · pith_short_16: TIUJAQFU2MQ36Z6B · pith_short_8: TIUJAQFU

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/TIUJAQFU2MQ36Z6BBUJDHCHQHR \
  | 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: 9a289040b4d321bf67c10d123388f03c78c201998d01ffc19997c25e0d7362c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a63b28e286fe1f61983a621cea48f7c8db80670d3b161c07c8bae21cf167e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-01-07T00:28:43Z",
    "title_canon_sha256": "661e85ddf8d71aadb964f9a2f6cd1c767224744d435c79707e2325899be428b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0401027",
    "kind": "arxiv",
    "version": 2
  }
}