Pith Number

pith:ELO6GFQZ

pith:2015:ELO6GFQZIS7E3TTQCHZ5EJANMP

not attested not anchored not stored refs pending

On the range of the Campanino and P\'etritis random walk

Fran\c{c}oise P\`ene, Nadine Guillotin-Plantard

arxiv:1508.02542 v1 · 2015-08-11 · 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{ELO6GFQZIS7E3TTQCHZ5EJANMP}

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	2026-05-18T01:35:28.894829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22dde3161944be4dce7011f3d2240d63e607bd4f97fae80e35527336bd35f5f1

Aliases

arxiv: 1508.02542 · arxiv_version: 1508.02542v1 · doi: 10.48550/arxiv.1508.02542 · pith_short_12: ELO6GFQZIS7E · pith_short_16: ELO6GFQZIS7E3TTQ · pith_short_8: ELO6GFQZ

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/ELO6GFQZIS7E3TTQCHZ5EJANMP \
  | 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: 22dde3161944be4dce7011f3d2240d63e607bd4f97fae80e35527336bd35f5f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5db2ac8810d2d55449ab13dde5c1c5cc765ca3e4c49ffa51394bf478ca4a619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-11T09:58:00Z",
    "title_canon_sha256": "14c88e2342faf24f86d666b1db6de1f9fdd9286d3bfa77e1ed63d664bc8ad2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02542",
    "kind": "arxiv",
    "version": 1
  }
}