Pith Number

pith:XBPJ6QUZ

pith:2018:XBPJ6QUZHCUL2EBRYNKEUXI26S

not attested not anchored not stored refs pending

An introduction to stochastic processes associated with resistance forms and their scaling limits

David A. Croydon

arxiv:1806.02466 v1 · 2018-06-07 · 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{XBPJ6QUZHCUL2EBRYNKEUXI26S}

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	2026-05-18T00:13:56.761480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85e9f429938a8bd1031c3544a5d1af4ba308f323de3a3561a59c90c0e055a91

Aliases

arxiv: 1806.02466 · arxiv_version: 1806.02466v1 · doi: 10.48550/arxiv.1806.02466 · pith_short_12: XBPJ6QUZHCUL · pith_short_16: XBPJ6QUZHCUL2EBR · pith_short_8: XBPJ6QUZ

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/XBPJ6QUZHCUL2EBRYNKEUXI26S \
  | 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: b85e9f429938a8bd1031c3544a5d1af4ba308f323de3a3561a59c90c0e055a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8abaabc35cb5cbcc4074bfb4c79439b60b58889ce704b40fa4e2fa7337b150",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-07T00:20:03Z",
    "title_canon_sha256": "3d17a61fb1da2afe9bedb222a15132fc59c186d6d82432882e0e01d469519a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02466",
    "kind": "arxiv",
    "version": 1
  }
}