Pith Number

pith:B2IYECJH

pith:2025:B2IYECJHN5SBWPKPBNCCE2SSQV

not attested not anchored not stored refs pending

Generalized Probability Theory: notes for a short course

Alex Wilce

arxiv:2501.00718 v2 · 2025-01-01 · 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{B2IYECJHN5SBWPKPBNCCE2SSQV}

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.

Cited by

1 paper in Pith

Spectral versus interpolation norms in tracial nonassociative $\mathrm{L}^p$-spaces

Receipt and verification

First computed	2026-07-05T11:01:56.474084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e918209276f641b3d4f0b44226a52854772d23094f2e470057797a4fe57eaab

Aliases

arxiv: 2501.00718 · arxiv_version: 2501.00718v2 · doi: 10.48550/arxiv.2501.00718 · pith_short_12: B2IYECJHN5SB · pith_short_16: B2IYECJHN5SBWPKP · pith_short_8: B2IYECJH

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/B2IYECJHN5SBWPKPBNCCE2SSQV \
  | 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: 0e918209276f641b3d4f0b44226a52854772d23094f2e470057797a4fe57eaab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9752c682adc37cf2b6fa28f90c2bd44434b8ef11c677cb8af6c71dae861651a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-01-01T04:09:11Z",
    "title_canon_sha256": "b0bf0a3dc11ed393aeaa2883fc33e5b479ff723db73ddf62527253f40c575dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00718",
    "kind": "arxiv",
    "version": 2
  }
}