Pith Number

pith:TM6OVVZ3

pith:2005:TM6OVVZ3J3JPKQK2QVMZR5Q5MY

not attested not anchored not stored refs pending

Recurrence of Simple Random Walk on $Z^2$ is Dynamically Sensitive

Christopher Hoffman

arxiv:math/0503065 v1 · 2005-03-03 · 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{TM6OVVZ3J3JPKQK2QVMZR5Q5MY}

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.

Cited by

1 paper in Pith

Noise sensitivity and exceptional times of transience for a simple symmetric random walk in one dimension

Receipt and verification

First computed	2026-07-04T14:39:45.831019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3cead73b4ed2f5415a855998f61d662871dbf6bebdab578212341bbf7591ba

Aliases

arxiv: math/0503065 · arxiv_version: math/0503065v1 · doi: 10.48550/arxiv.math/0503065 · pith_short_12: TM6OVVZ3J3JP · pith_short_16: TM6OVVZ3J3JPKQK2 · pith_short_8: TM6OVVZ3

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/TM6OVVZ3J3JPKQK2QVMZR5Q5MY \
  | 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: 9b3cead73b4ed2f5415a855998f61d662871dbf6bebdab578212341bbf7591ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de35525a8be6317c52b29055d5374a4762c0b27a5e977045e033e419c8321604",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-03T19:03:28Z",
    "title_canon_sha256": "2aa64a60b6b514286778eca337f865b45117580ff21b1ec202dd5484549ecdd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503065",
    "kind": "arxiv",
    "version": 1
  }
}