Pith Number

pith:M5E22ICF

pith:2017:M5E22ICF3QNGQFMJDHCD4JE4FF

not attested not anchored not stored refs pending

The branching-ruin number and the critical parameter of once-reinforced random walk on trees

Andrea Collevecchio, Daniel Kious, Vladas Sidoravicius

arxiv:1710.00567 v4 · 2017-10-02 · 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{M5E22ICF3QNGQFMJDHCD4JE4FF}

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	2026-05-18T00:03:00.245373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6749ad2045dc1a68158919c43e249c296d8bb226876817f212a7177e41de3ce1

Aliases

arxiv: 1710.00567 · arxiv_version: 1710.00567v4 · doi: 10.48550/arxiv.1710.00567 · pith_short_12: M5E22ICF3QNG · pith_short_16: M5E22ICF3QNGQFMJ · pith_short_8: M5E22ICF

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/M5E22ICF3QNGQFMJDHCD4JE4FF \
  | 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: 6749ad2045dc1a68158919c43e249c296d8bb226876817f212a7177e41de3ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036398f569a3c8e55cf84cf9582ae3a2eda755a19d2e3c0226006817f30972a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-02T10:11:38Z",
    "title_canon_sha256": "99bb4aa969aa4b8f2f7051708daeac32b73ba48cea1e6aa9255778788be9773f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00567",
    "kind": "arxiv",
    "version": 4
  }
}