Pith Number

pith:2CYMEYCE

pith:2011:2CYMEYCERBQA4JUQM25777A434

not attested not anchored not stored refs pending

Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs

David B. Wilson, Richard W. Kenyon

arxiv:1107.3377 v2 · 2011-07-18 · 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{2CYMEYCERBQA4JUQM25777A434}

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	2026-05-18T01:24:04.725406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b0c2604488600e269066bbfffc1cdf0f7a2192343b8be88d6d3a26d65b2b2e

Aliases

arxiv: 1107.3377 · arxiv_version: 1107.3377v2 · doi: 10.48550/arxiv.1107.3377 · pith_short_12: 2CYMEYCERBQA · pith_short_16: 2CYMEYCERBQA4JUQ · pith_short_8: 2CYMEYCE

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/2CYMEYCERBQA4JUQM25777A434 \
  | 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: d0b0c2604488600e269066bbfffc1cdf0f7a2192343b8be88d6d3a26d65b2b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdb8d725ff02c63e22062a65596110956194a9f630037b80097d64dd63ce697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-18T08:18:50Z",
    "title_canon_sha256": "d06c27c2dc939cc00f1caa478de519b443cdebf97f045c3173bdfc38ed415f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3377",
    "kind": "arxiv",
    "version": 2
  }
}