Pith Number

pith:V2FR3SZR

pith:2026:V2FR3SZRJNYXRTMY76MJRIEIBE

not attested not anchored not stored refs pending

Isotropic random walks and Brownian diffusion on complex projective space

Gyula I. T\'oth

arxiv:2606.11438 v1 · 2026-06-09 · 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{V2FR3SZRJNYXRTMY76MJRIEIBE}

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	2026-06-11T01:09:48.563117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8b1dcb314b7178cd98ff9898a0880926b48600e8501b73c93650fb7aa092aa

Aliases

arxiv: 2606.11438 · arxiv_version: 2606.11438v1 · doi: 10.48550/arxiv.2606.11438 · pith_short_12: V2FR3SZRJNYX · pith_short_16: V2FR3SZRJNYXRTMY · pith_short_8: V2FR3SZR

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/V2FR3SZRJNYXRTMY76MJRIEIBE \
  | 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: ae8b1dcb314b7178cd98ff9898a0880926b48600e8501b73c93650fb7aa092aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d401b5a5901a0ea6df98b5563a71dcdc5299b20d5c9c9b4d8daeb789f4b606",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-09T20:49:10Z",
    "title_canon_sha256": "25ac1a8873119cdd8db5cfd045175a3e5edec5bc7706f47b357a382c8aa10a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11438",
    "kind": "arxiv",
    "version": 1
  }
}