Pith Number

pith:WQ765XEX

pith:2015:WQ765XEX6IOH3IX4XVI6E253KF

not attested not anchored not stored refs pending

Reduced two-type decomposable critical branching processes with possibly infinite variance

Charline Smadi, Vladimir A. Vatutin

arxiv:1508.06653 v1 · 2015-08-26 · 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{WQ765XEX6IOH3IX4XVI6E253KF}

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	2026-05-18T01:34:41.414329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43feedc97f21c7da2fcbd51e26bbb5163109ae19a3824869a65af4e9396b94c

Aliases

arxiv: 1508.06653 · arxiv_version: 1508.06653v1 · doi: 10.48550/arxiv.1508.06653 · pith_short_12: WQ765XEX6IOH · pith_short_16: WQ765XEX6IOH3IX4 · pith_short_8: WQ765XEX

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/WQ765XEX6IOH3IX4XVI6E253KF \
  | 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: b43feedc97f21c7da2fcbd51e26bbb5163109ae19a3824869a65af4e9396b94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2dfb6a9bb3d8cf2e1d1c9d18d348bd903d173cde736090b1d86daf7fcfa4bc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-26T20:26:18Z",
    "title_canon_sha256": "7929e55aef21daf4bb956ebbf0e7240a081e5f76c309d76d41301472dea4c62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06653",
    "kind": "arxiv",
    "version": 1
  }
}