Pith Number

pith:F44P4OLW

pith:2016:F44P4OLW7FODTBQ64XYVZIZ5JK

not attested not anchored not stored refs pending

Conditioning a Brownian loop-soup cluster on a portion of its boundary

Wei Qian

arxiv:1610.09343 v3 · 2016-10-28 · math.PR · 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{F44P4OLW7FODTBQ64XYVZIZ5JK}

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	2026-05-18T00:01:10.693642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f38fe3976f95c39861ee5f15ca33d4aa1658e9c362533e479d1045532af04d5

Aliases

arxiv: 1610.09343 · arxiv_version: 1610.09343v3 · doi: 10.48550/arxiv.1610.09343 · pith_short_12: F44P4OLW7FOD · pith_short_16: F44P4OLW7FODTBQ6 · pith_short_8: F44P4OLW

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/F44P4OLW7FODTBQ64XYVZIZ5JK \
  | 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: 2f38fe3976f95c39861ee5f15ca33d4aa1658e9c362533e479d1045532af04d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4023be34e8fa287e5527f91647a53e22b464d5a4095e46e3035347c6efe77eeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-28T18:42:40Z",
    "title_canon_sha256": "fc5c6c634b7f58b1715c7084cacc206ca5c2494def880ec58482c50be30db72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09343",
    "kind": "arxiv",
    "version": 3
  }
}