Pith Number

pith:KFP7B4GA

pith:2016:KFP7B4GA3UYOMKB7UOATQGQCLA

not attested not anchored not stored refs pending

Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding

Jason Miller, Scott Sheffield

arxiv:1605.03563 v3 · 2016-05-11 · math.PR · math-ph · math.CV · 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{KFP7B4GA3UYOMKB7UOATQGQCLA}

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.

Cited by

2 papers in Pith

Regularity of the SLE$_4$ uniformizing map and the SLE$_8$ trace

Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion

Receipt and verification

First computed	2026-07-05T02:33:03.266307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515ff0f0c0dd30e6283fa381381a02580bd3ec2f8dc3f23174aedf18727b5aaf

Aliases

arxiv: 1605.03563 · arxiv_version: 1605.03563v3 · doi: 10.48550/arxiv.1605.03563 · pith_short_12: KFP7B4GA3UYO · pith_short_16: KFP7B4GA3UYOMKB7 · pith_short_8: KFP7B4GA

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/KFP7B4GA3UYOMKB7UOATQGQCLA \
  | 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: 515ff0f0c0dd30e6283fa381381a02580bd3ec2f8dc3f23174aedf18727b5aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204fefe00dfb6807568df04fe77ae5e99f77710b207a31b8e291b52cbcf69985",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-11T19:52:10Z",
    "title_canon_sha256": "107bdd2d500cbfc40c3eb25b02ba95b6ed374d468d64cd07bf20d2511eb167c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03563",
    "kind": "arxiv",
    "version": 3
  }
}