Pith Number

pith:SESWL2NB

pith:2014:SESWL2NBEIRBOAYCPCSC47SNZK

not attested not anchored not stored refs pending

Limit theorems for decomposable branching processes in a random environment

Quansheng Liu, Vladimir Vatutin

arxiv:1403.0746 v1 · 2014-03-04 · 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{SESWL2NBEIRBOAYCPCSC47SNZK}

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	2026-05-18T02:57:15.807357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

912565e9a1222217030278a42e7e4dcaa278bea9f5bd9879f9dab2a26bd1c4d6

Aliases

arxiv: 1403.0746 · arxiv_version: 1403.0746v1 · doi: 10.48550/arxiv.1403.0746 · pith_short_12: SESWL2NBEIRB · pith_short_16: SESWL2NBEIRBOAYC · pith_short_8: SESWL2NB

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/SESWL2NBEIRBOAYCPCSC47SNZK \
  | 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: 912565e9a1222217030278a42e7e4dcaa278bea9f5bd9879f9dab2a26bd1c4d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972959d49bc7b0ef51af498ea849f0637d01a238c959f27cce34262957d8796c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-04T11:38:35Z",
    "title_canon_sha256": "7ad4e2be9d714e6f3da00f4daaa60a93beb5a924aded0836a20bfbd2ad667292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0746",
    "kind": "arxiv",
    "version": 1
  }
}