Pith Number

pith:XKPC2ZT6

pith:2026:XKPC2ZT6YFNRFJSV6PNY4TY3CP

not attested not anchored not stored refs pending

All Quantum Probability viewed in Complex Projective Geometry

Stephen Bruce Sontz

arxiv:2605.17578 v1 · 2026-05-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKPC2ZT6YFNRFJSV6PNY4TY3CP}

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	2026-05-20T00:04:46.901588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9e2d667ec15b12a655f3db8e4f1b13ed8c8a420f255e7a31e70598a0e7e700

Aliases

arxiv: 2605.17578 · arxiv_version: 2605.17578v1 · doi: 10.48550/arxiv.2605.17578 · pith_short_12: XKPC2ZT6YFNR · pith_short_16: XKPC2ZT6YFNRFJSV · pith_short_8: XKPC2ZT6

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/XKPC2ZT6YFNRFJSV6PNY4TY3CP \
  | 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: ba9e2d667ec15b12a655f3db8e4f1b13ed8c8a420f255e7a31e70598a0e7e700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c78eeae35fe391cb931908f06392f4a595b31ca3e9fa15fbeb62bd3342df77c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-17T18:09:39Z",
    "title_canon_sha256": "7a788a1e07aaa58d1223ee43a7d4d7564a51da7f6021363ae8cd06dcf6de8521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17578",
    "kind": "arxiv",
    "version": 1
  }
}