Pith Number

pith:JIKUTRL6

pith:2010:JIKUTRL6TDAAOUQJ56FWMSBAAO

not attested not anchored not stored refs pending

Transformation & Uncertainty. Some Thoughts on Quantum Probability Theory, Quantum Statistics, and Natural Bundles

Bas Janssens

arxiv:1011.3035 v1 · 2010-11-12 · math.DG · 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{JIKUTRL6TDAAOUQJ56FWMSBAAO}

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	2026-05-18T04:36:07.547642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1549c57e98c0075209ef8b66482003aba02d967224c4f4e9e92975f9d8ead4

Aliases

arxiv: 1011.3035 · arxiv_version: 1011.3035v1 · doi: 10.48550/arxiv.1011.3035 · pith_short_12: JIKUTRL6TDAA · pith_short_16: JIKUTRL6TDAAOUQJ · pith_short_8: JIKUTRL6

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/JIKUTRL6TDAAOUQJ56FWMSBAAO \
  | 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: 4a1549c57e98c0075209ef8b66482003aba02d967224c4f4e9e92975f9d8ead4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bc81820c898691a9458a12846752c3094cd9e8283d20e33164ce7295b5e268",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-12T20:45:15Z",
    "title_canon_sha256": "a9ff231bd834b2c5b577477c00092d206c446d11600b70786374b14fca1b6baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3035",
    "kind": "arxiv",
    "version": 1
  }
}