Pith Number

pith:ZA27C7T5

pith:2014:ZA27C7T5FA6PP6S6IDWCWJC7HE

not attested not anchored not stored refs pending

A lower bound for disconnection by simple random walk

Xinyi Li

arxiv:1412.3959 v1 · 2014-12-12 · 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{ZA27C7T5FA6PP6S6IDWCWJC7HE}

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	2026-05-18T00:42:13.710378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c835f17e7d283cf7fa5e40ec2b245f391dba4772b523f899c13675968c096060

Aliases

arxiv: 1412.3959 · arxiv_version: 1412.3959v1 · doi: 10.48550/arxiv.1412.3959 · pith_short_12: ZA27C7T5FA6P · pith_short_16: ZA27C7T5FA6PP6S6 · pith_short_8: ZA27C7T5

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/ZA27C7T5FA6PP6S6IDWCWJC7HE \
  | 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: c835f17e7d283cf7fa5e40ec2b245f391dba4772b523f899c13675968c096060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "863ce00497da1ef2c4ce37f97ff33057f4af0554992fced9166dc3500b1f3161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-12T11:48:11Z",
    "title_canon_sha256": "4abb3ee587b22c498e286f819d24c1033a89f80a1fb9f488ac349c1bd6725ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3959",
    "kind": "arxiv",
    "version": 1
  }
}