Pith Number

pith:LS5XRT3K

pith:2011:LS5XRT3K6SD36RCRXK6TZYZK7P

not attested not anchored not stored refs pending

The number of generations entirely visited for recurrent random walks on random environment

Pierre Andreoletti (MAPMO), Pierre Debs (MAPMO)

arxiv:1112.3797 v1 · 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{LS5XRT3K6SD36RCRXK6TZYZK7P}

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	2026-05-18T04:06:08.733871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbb78cf6af487bf4451babd3ce32afbfc16cd58e889aaf0e01eeff06ead775c

Aliases

arxiv: 1112.3797 · arxiv_version: 1112.3797v1 · doi: 10.48550/arxiv.1112.3797 · pith_short_12: LS5XRT3K6SD3 · pith_short_16: LS5XRT3K6SD36RCR · pith_short_8: LS5XRT3K

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/LS5XRT3K6SD36RCRXK6TZYZK7P \
  | 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: 5cbb78cf6af487bf4451babd3ce32afbfc16cd58e889aaf0e01eeff06ead775c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d371fa461e771b0a7d4f9687f2959531a2e8184a92cf80670f88d407e6681ead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-16T13:02:03Z",
    "title_canon_sha256": "62e7768c92ab75059839deb8a8590ed9caba9c177787056fac435468b189bfc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3797",
    "kind": "arxiv",
    "version": 1
  }
}