Pith Number

pith:X4DGXV5H

pith:2015:X4DGXV5HHTCPX574T2EQUYCHBU

not attested not anchored not stored refs pending

Random walks systems with finite lifetime on $ \bbZ $

Elcio Lebensztayn, Fabio Machado, Mauricio Zuluaga

arxiv:1509.06742 v1 · 2015-09-22 · 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{X4DGXV5HHTCPX574T2EQUYCHBU}

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	2026-05-18T01:21:54.117922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf066bd7a73cc4fbf7fc9e890a60470d21d9d8f75ce9bf69c0722311908c24df

Aliases

arxiv: 1509.06742 · arxiv_version: 1509.06742v1 · doi: 10.48550/arxiv.1509.06742 · pith_short_12: X4DGXV5HHTCP · pith_short_16: X4DGXV5HHTCPX574 · pith_short_8: X4DGXV5H

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/X4DGXV5HHTCPX574T2EQUYCHBU \
  | 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: bf066bd7a73cc4fbf7fc9e890a60470d21d9d8f75ce9bf69c0722311908c24df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f42bf5fe8d527c42127e8c664e602cd776b2d824ed8460c23118f8e18d887d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-22T19:37:03Z",
    "title_canon_sha256": "f2d4ec64cf8f48a9bc66b7d25c7fbbd67a20dae198b235abd1aee13ebf5475d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06742",
    "kind": "arxiv",
    "version": 1
  }
}