Pith Number

pith:OW5ZXQ5A

pith:2016:OW5ZXQ5AZ6W7EXA2YBIJXITY7P

not attested not anchored not stored refs pending

Displacement exponent for loop-erased random walk on the Sierpi\'nski gasket

Kumiko Hattori

arxiv:1607.04954 v1 · 2016-07-18 · 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{OW5ZXQ5AZ6W7EXA2YBIJXITY7P}

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	2026-05-18T01:10:56.263931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75bb9bc3a0cfadf25c1ac0509ba278fbde57dd00e5cd3a83f9fe937949761a5b

Aliases

arxiv: 1607.04954 · arxiv_version: 1607.04954v1 · doi: 10.48550/arxiv.1607.04954 · pith_short_12: OW5ZXQ5AZ6W7 · pith_short_16: OW5ZXQ5AZ6W7EXA2 · pith_short_8: OW5ZXQ5A

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/OW5ZXQ5AZ6W7EXA2YBIJXITY7P \
  | 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: 75bb9bc3a0cfadf25c1ac0509ba278fbde57dd00e5cd3a83f9fe937949761a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffeed080f4234108fc83846de71010e3ac1d1cf2b9674e50288ef3a42cbfbe57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-18T06:03:21Z",
    "title_canon_sha256": "91022377e78b222117c4d87c01c70d3ab78a340926eeade6a4dafdaa113d7462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04954",
    "kind": "arxiv",
    "version": 1
  }
}