Pith Number

pith:RFB75TVN

pith:2025:RFB75TVN7SG46D4V3UXLSCEPA4

not attested not anchored not stored refs pending

Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity

Ewain Gwynne, Jinwoo Sung

arxiv:2506.18827 v2 · 2025-06-23 · 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{RFB75TVN7SG46D4V3UXLSCEPA4}

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	2026-07-01T01:17:10.087243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8943feceadfc8dcf0f95dd2eb9088f072f12d4a15f17035eb9c2607bee55d1e5

Aliases

arxiv: 2506.18827 · arxiv_version: 2506.18827v2 · doi: 10.48550/arxiv.2506.18827 · pith_short_12: RFB75TVN7SG4 · pith_short_16: RFB75TVN7SG46D4V · pith_short_8: RFB75TVN

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/RFB75TVN7SG46D4V3UXLSCEPA4 \
  | 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: 8943feceadfc8dcf0f95dd2eb9088f072f12d4a15f17035eb9c2607bee55d1e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bcac8c8ddd3033793f885c7bd230f528214e74707d6256561f21d3a17f023ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-23T16:41:47Z",
    "title_canon_sha256": "3f0148481afb61700f270fdc7646f52a2e6e19b84a38faa1b2952e30896b4584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18827",
    "kind": "arxiv",
    "version": 2
  }
}