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Pith Number

pith:WXV63OAA

pith:2013:WXV63OAA5PRGMFE65JOKMPLO7X
not attested not anchored not stored refs pending

Excursions of excited random walks on integers

Elena Kosygina, Martin P. W. Zerner

arxiv:1307.6830 v1 · 2013-07-25 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WXV63OAA5PRGMFE65JOKMPLO7X}

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 2026-05-18T03:17:34.555183Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b5ebedb800ebe266149eea5ca63d6efdfc93b66de89af50435db5f008c2ecd90

Aliases

arxiv: 1307.6830 · arxiv_version: 1307.6830v1 · doi: 10.48550/arxiv.1307.6830 · pith_short_12: WXV63OAA5PRG · pith_short_16: WXV63OAA5PRGMFE6 · pith_short_8: WXV63OAA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WXV63OAA5PRGMFE65JOKMPLO7X \
  | 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: b5ebedb800ebe266149eea5ca63d6efdfc93b66de89af50435db5f008c2ecd90
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9eacb5c27027745410ed53537aaaa613ac4592c08eac1225121cfe5b7dc661e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-25T18:13:51Z",
    "title_canon_sha256": "58d62e3d1af0192a439f7874b961d8c058a37c73c8df406a9768f737a0e95ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6830",
    "kind": "arxiv",
    "version": 1
  }
}