Pith Number

pith:RR2PG3YH

pith:2011:RR2PG3YH4OQZ7FBLGLRGO73C3Z

not attested not anchored not stored refs pending

Survival of branching processes in random environments

Elena Dyakonova, Serik Sagitov, Vladimir Vatutin

arxiv:1110.6139 v1 · 2011-10-27 · 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{RR2PG3YH4OQZ7FBLGLRGO73C3Z}

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	2026-05-18T04:10:09.510368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c74f36f07e3a19f942b32e2677f62de61c2d69cc02d96de5fff438bc5888514

Aliases

arxiv: 1110.6139 · arxiv_version: 1110.6139v1 · doi: 10.48550/arxiv.1110.6139 · pith_short_12: RR2PG3YH4OQZ · pith_short_16: RR2PG3YH4OQZ7FBL · pith_short_8: RR2PG3YH

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/RR2PG3YH4OQZ7FBLGLRGO73C3Z \
  | 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: 8c74f36f07e3a19f942b32e2677f62de61c2d69cc02d96de5fff438bc5888514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05b5c597923b47d0b99b9a1c2dc7b7ca9ea60c213648b5b5be9c621ff4e7dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-27T16:52:54Z",
    "title_canon_sha256": "71177fcbaca8106ecdaca99bcaca160e2a9e79420d934018793a223804dd8965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6139",
    "kind": "arxiv",
    "version": 1
  }
}