Pith Number

pith:F2IN2XCH

pith:2018:F2IN2XCHGUXS44TTQ3M7VB4UYF

not attested not anchored not stored refs pending

The heavy range of randomly biased walks on trees

Pierre Andreoletti (IDP), Roland Diel (JAD)

arxiv:1811.02226 v2 · 2018-11-06 · 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{F2IN2XCHGUXS44TTQ3M7VB4UYF}

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	2026-05-17T23:57:50.255168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e90dd5c47352f2e727386d9fa8794c16fede760a30932645f108a05f8cd09d0

Aliases

arxiv: 1811.02226 · arxiv_version: 1811.02226v2 · doi: 10.48550/arxiv.1811.02226 · pith_short_12: F2IN2XCHGUXS · pith_short_16: F2IN2XCHGUXS44TT · pith_short_8: F2IN2XCH

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/F2IN2XCHGUXS44TTQ3M7VB4UYF \
  | 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: 2e90dd5c47352f2e727386d9fa8794c16fede760a30932645f108a05f8cd09d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb4df6b8fd8ae15387f4ae87cea2c30944dad7ee54c1f9d210b867c608d317a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-06T08:50:24Z",
    "title_canon_sha256": "25d0da1b8e203a421689e0ae6a7df21f85d44d6ade77dafe9c1dd0854700be5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02226",
    "kind": "arxiv",
    "version": 2
  }
}