Pith Number

pith:7NWSGATT

pith:2018:7NWSGATTDIFCB7ST2NSYFTNOYV

not attested not anchored not stored refs pending

Uniform spanning forests associated with biased random walks on Euclidean lattices

He Song, Kainan Xiang, Longmin Wang, Vladas Sidoravicius, Zhan Shi

arxiv:1805.01615 v1 · 2018-05-04 · 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{7NWSGATTDIFCB7ST2NSYFTNOYV}

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	2026-05-18T00:16:47.293569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb6d2302731a0a20fe53d36582cdaec578f3af1c288c1a09321b1d0f0483e7b2

Aliases

arxiv: 1805.01615 · arxiv_version: 1805.01615v1 · doi: 10.48550/arxiv.1805.01615 · pith_short_12: 7NWSGATTDIFC · pith_short_16: 7NWSGATTDIFCB7ST · pith_short_8: 7NWSGATT

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/7NWSGATTDIFCB7ST2NSYFTNOYV \
  | 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: fb6d2302731a0a20fe53d36582cdaec578f3af1c288c1a09321b1d0f0483e7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670cbb1de79e3067c3ec9338ba5629862514b270a8c3e0c860886aeb7d4beb8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-04T05:35:53Z",
    "title_canon_sha256": "b1c981615d2e1348c08e9d5f7124c4959483d74d1e000554ec7e3d7acf0ce652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01615",
    "kind": "arxiv",
    "version": 1
  }
}