Pith Number

pith:XC5YE2WB

pith:2012:XC5YE2WB4M5KT5PBG74NZJUM5W

not attested not anchored not stored refs pending

An explicit effect of non-symmetry of random walks on the triangular lattice

Hiroshi Kawabi, Satoshi Ishiwata, Tsubasa Teruya

arxiv:1210.7989 v1 · 2012-10-30 · 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{XC5YE2WB4M5KT5PBG74NZJUM5W}

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	2026-05-18T03:41:57.433458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8bb826ac1e33aa9f5e137f8dca68ced9900c60c95ee66b7c08f8f0c13feca7f

Aliases

arxiv: 1210.7989 · arxiv_version: 1210.7989v1 · doi: 10.48550/arxiv.1210.7989 · pith_short_12: XC5YE2WB4M5K · pith_short_16: XC5YE2WB4M5KT5PB · pith_short_8: XC5YE2WB

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/XC5YE2WB4M5KT5PBG74NZJUM5W \
  | 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: b8bb826ac1e33aa9f5e137f8dca68ced9900c60c95ee66b7c08f8f0c13feca7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33f2fd9e93e51364fac744503dfa764ae0ce3d325ddd3e865e1112589ad3974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-30T13:01:38Z",
    "title_canon_sha256": "1a8baf4abb0d794b41e79b202bf0f362ee144058085afb6bf7738024068f9b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7989",
    "kind": "arxiv",
    "version": 1
  }
}