Pith Number

pith:HBTLTVWA

pith:2013:HBTLTVWAY3LPW6GQ5EGEPWQV5Y

not attested not anchored not stored refs pending

Selected Topics in Random Walk in Random Environment

Alejandro F. Ram\'irez, Alexander Drewitz

arxiv:1309.2589 v1 · 2013-09-10 · 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{HBTLTVWAY3LPW6GQ5EGEPWQV5Y}

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	2026-05-18T03:13:44.154219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3866b9d6c0c6d6fb78d0e90c47da15ee078d9b3d4a8055c2a9e804e1912c04bb

Aliases

arxiv: 1309.2589 · arxiv_version: 1309.2589v1 · doi: 10.48550/arxiv.1309.2589 · pith_short_12: HBTLTVWAY3LP · pith_short_16: HBTLTVWAY3LPW6GQ · pith_short_8: HBTLTVWA

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/HBTLTVWAY3LPW6GQ5EGEPWQV5Y \
  | 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: 3866b9d6c0c6d6fb78d0e90c47da15ee078d9b3d4a8055c2a9e804e1912c04bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699d843c5620d7130a998242a3328d4965dbe363f0c4862d150567cd09e5669c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-10T17:47:20Z",
    "title_canon_sha256": "d4acd88c0dd41af6d2b78c3a96e2c7780267ff5f05183d4fedb29a5934bfa0c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2589",
    "kind": "arxiv",
    "version": 1
  }
}