Pith Number

pith:HR745GEL

pith:2016:HR745GELCO6DUCYUE5IGSNM34P

not attested not anchored not stored refs pending

Path to survival for the critical branching processes in a random environment

Elena Dyakonova, Vladimir Vatutin

arxiv:1603.03199 v1 · 2016-03-10 · 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{HR745GELCO6DUCYUE5IGSNM34P}

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	2026-05-18T01:19:16.795919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c7fce988b13bc3a0b14275069359be3d537e7974d6de5fd37a200d626d29c9d

Aliases

arxiv: 1603.03199 · arxiv_version: 1603.03199v1 · doi: 10.48550/arxiv.1603.03199 · pith_short_12: HR745GELCO6D · pith_short_16: HR745GELCO6DUCYU · pith_short_8: HR745GEL

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/HR745GELCO6DUCYUE5IGSNM34P \
  | 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: 3c7fce988b13bc3a0b14275069359be3d537e7974d6de5fd37a200d626d29c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcde8a7ca12fb180ecb5687f025ae2f1d8ed038c81babf5e0971eeb2ed9c2fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-10T09:48:32Z",
    "title_canon_sha256": "0bc407b07fc53d3027f53996d04b1b00ac5a45beeb52cc9b04b819c33ab05545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03199",
    "kind": "arxiv",
    "version": 1
  }
}