Pith Number

pith:ZP32EC3N

pith:2024:ZP32EC3N453SBLRFSMTQUYHZ6D

not attested not anchored not stored refs pending

Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes

L\'eo Touzo, Mathis Gu\'eneau

arxiv:2404.10537 v3 · 2024-04-16 · cond-mat.stat-mech · math-ph · 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{ZP32EC3N453SBLRFSMTQUYHZ6D}

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	2026-07-05T09:32:07.064851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf7a20b6de77720ae2593270a60f9f0c1c16c74701d5ec20802aad19df73a63

Aliases

arxiv: 2404.10537 · arxiv_version: 2404.10537v3 · doi: 10.48550/arxiv.2404.10537 · pith_short_12: ZP32EC3N453S · pith_short_16: ZP32EC3N453SBLRF · pith_short_8: ZP32EC3N

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/ZP32EC3N453SBLRFSMTQUYHZ6D \
  | 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: cbf7a20b6de77720ae2593270a60f9f0c1c16c74701d5ec20802aad19df73a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602108f1b5a16fae5130e300be4dfe177b55555341c75482e1a5a4230d4e74ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-04-16T13:06:38Z",
    "title_canon_sha256": "31f1f5f7d144ace696d3fa6274c6463f20a7dd23d748331b0fa6acaf132d3b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.10537",
    "kind": "arxiv",
    "version": 3
  }
}