Pith Number

pith:IJS3LALG

pith:2017:IJS3LALGJEFSZL5COP7R4MKSOO

not attested not anchored not stored refs pending

Discrete probabilistic and algebraic dynamics: a stochastic commutative Gelfand-Naimark Theorem

Arthur J. Parzygnat

arxiv:1708.00091 v2 · 2017-07-31 · math.FA · math-ph · math.CT · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJS3LALGJEFSZL5COP7R4MKSOO}

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	2026-05-18T00:33:38.952702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4265b58166490b2cafa273ff1e315273a1b125b055e49104dfd0a94d30d0114b

Aliases

arxiv: 1708.00091 · arxiv_version: 1708.00091v2 · doi: 10.48550/arxiv.1708.00091 · pith_short_12: IJS3LALGJEFS · pith_short_16: IJS3LALGJEFSZL5C · pith_short_8: IJS3LALG

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/IJS3LALGJEFSZL5COP7R4MKSOO \
  | 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: 4265b58166490b2cafa273ff1e315273a1b125b055e49104dfd0a94d30d0114b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3987ea47456882c67d03ded7a231fac17a46d1b856289688b71790efd12544",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-31T22:39:11Z",
    "title_canon_sha256": "a2d29073a72a5badbf90de8127ac7c976c7cc4c17fe8e30033b7325e876e2e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00091",
    "kind": "arxiv",
    "version": 2
  }
}