pith. sign in
Pith Number

pith:IIZ5SA5V

pith:2015:IIZ5SA5VTOUC53QAS3HVS4RAU4
not attested not anchored not stored refs pending

Path Coupling and Aggregate Path Coupling

Peter T. Otto, Yevgeniy Kovchegov

arxiv:1501.03107 v1 · 2015-01-13 · math.PR · math-ph · math.MP · physics.comp-ph · physics.data-an

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IIZ5SA5VTOUC53QAS3HVS4RAU4}

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 2026-05-18T02:29:30.491076Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4233d903b59ba82eee0096cf597220a703f18e0f96260e6ae8046bf65d05555c

Aliases

arxiv: 1501.03107 · arxiv_version: 1501.03107v1 · doi: 10.48550/arxiv.1501.03107 · pith_short_12: IIZ5SA5VTOUC · pith_short_16: IIZ5SA5VTOUC53QA · pith_short_8: IIZ5SA5V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IIZ5SA5VTOUC53QAS3HVS4RAU4 \
  | 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: 4233d903b59ba82eee0096cf597220a703f18e0f96260e6ae8046bf65d05555c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a7e536cab843bdb44c1dc18c2b6958efb1922b475c2cca2ed83e67a47ed6052f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-13T18:54:19Z",
    "title_canon_sha256": "b3cd016b0c58b9bc5209a3ab158cb5afb125a1de5cdee9defdc5ce94a0e1be6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03107",
    "kind": "arxiv",
    "version": 1
  }
}