Pith Number

pith:PNGPS7OT

pith:2012:PNGPS7OTK4NI2QWLELOZPG4X3U

not attested not anchored not stored refs pending

Discrete-Time Path Distributions on Hilbert Space

Mathieu Beau (STP-DIAS), T. C. Dorlas (STP-DIAS)

arxiv:1202.2033 v2 · 2012-02-09 · math-ph · math.FA · 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{PNGPS7OTK4NI2QWLELOZPG4X3U}

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	2026-05-18T01:28:35.699446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4cf97dd3571a8d42cb22dd979b97dd01931f3ede981833a4a9ac9ccc630a50

Aliases

arxiv: 1202.2033 · arxiv_version: 1202.2033v2 · doi: 10.48550/arxiv.1202.2033 · pith_short_12: PNGPS7OTK4NI · pith_short_16: PNGPS7OTK4NI2QWL · pith_short_8: PNGPS7OT

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/PNGPS7OTK4NI2QWLELOZPG4X3U \
  | 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: 7b4cf97dd3571a8d42cb22dd979b97dd01931f3ede981833a4a9ac9ccc630a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd9baaabbfb7ef9b6c89c4e4bd2695304914a743831995ab3f1c47658f884e8",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-09T16:17:14Z",
    "title_canon_sha256": "2993a84d5e71dc747809cfa7ac1f4f8dbcbad6672dc9d761b10de4886bc62057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2033",
    "kind": "arxiv",
    "version": 2
  }
}