Pith Number

pith:3NLOIHUZ

pith:2006:3NLOIHUZHODFV2Q2CQMIVT5PFZ

not attested not anchored not stored refs pending

Weak survival for branching random walks on graphs

Daniela Bertacchi, Fabio Zucca

arxiv:math/0603412 v2 · 2006-03-16 · 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{3NLOIHUZHODFV2Q2CQMIVT5PFZ}

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	2026-05-18T04:31:00.295080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db56e41e993b865aea1a14188acfaf2e42c43991295a3dd2bc8e7cdc2fc82dc1

Aliases

arxiv: math/0603412 · arxiv_version: math/0603412v2 · doi: 10.48550/arxiv.math/0603412 · pith_short_12: 3NLOIHUZHODF · pith_short_16: 3NLOIHUZHODFV2Q2 · pith_short_8: 3NLOIHUZ

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/3NLOIHUZHODFV2Q2CQMIVT5PFZ \
  | 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: db56e41e993b865aea1a14188acfaf2e42c43991295a3dd2bc8e7cdc2fc82dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58c3f76ecec40923abb23b9d5289952f70a1bbc2503d7aa4a15435fc5e6705c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-03-16T22:24:28Z",
    "title_canon_sha256": "762ff8b993aa84ae68c8712a27b14c46f2a03bcb4dd3f466872d62ebf9419568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603412",
    "kind": "arxiv",
    "version": 2
  }
}