Pith Number

pith:WA5HHDC5

pith:2011:WA5HHDC5PGJHSZFQO3DYYWXMPM

not attested not anchored not stored refs pending

Weak weak quenched limits for the path-valued processes of hitting times and positions of a transient, one-dimensional random walk in a random environment

Gennady Samorodnitsky, Jonathon Peterson

arxiv:1112.3919 v2 · 2011-12-16 · 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{WA5HHDC5PGJHSZFQO3DYYWXMPM}

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	2026-05-18T01:12:36.822467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03a738c5d79927964b076c78c5aec7b090838aa9712fcf8cd3d728d8a6870cb

Aliases

arxiv: 1112.3919 · arxiv_version: 1112.3919v2 · doi: 10.48550/arxiv.1112.3919 · pith_short_12: WA5HHDC5PGJH · pith_short_16: WA5HHDC5PGJHSZFQ · pith_short_8: WA5HHDC5

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/WA5HHDC5PGJHSZFQO3DYYWXMPM \
  | 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: b03a738c5d79927964b076c78c5aec7b090838aa9712fcf8cd3d728d8a6870cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b92a9777b1c1eda305bb2512dfb0f7de20df95b588a52720ec2c24148d1524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-16T18:58:52Z",
    "title_canon_sha256": "bddda33e8c9cd93633f40015f242c68ff9276403436acf71167d9b66827d190b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3919",
    "kind": "arxiv",
    "version": 2
  }
}