Pith Number

pith:CU3QNMBJ

pith:2016:CU3QNMBJH6OTB4NFMGLDNAM4OA

not attested not anchored not stored refs pending

How many families survive for a long time

E.E. Dyakonova, V.A. Vatutin

arxiv:1608.08062 v1 · 2016-08-29 · 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{CU3QNMBJH6OTB4NFMGLDNAM4OA}

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	2026-05-18T01:07:48.810120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153706b0293f9d30f1a5619636819c701202a8ea6001fdde63ba5b11a4284976

Aliases

arxiv: 1608.08062 · arxiv_version: 1608.08062v1 · doi: 10.48550/arxiv.1608.08062 · pith_short_12: CU3QNMBJH6OT · pith_short_16: CU3QNMBJH6OTB4NF · pith_short_8: CU3QNMBJ

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/CU3QNMBJH6OTB4NFMGLDNAM4OA \
  | 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: 153706b0293f9d30f1a5619636819c701202a8ea6001fdde63ba5b11a4284976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd635cd6d9a615bc071f20769f8601167cd2f90af4ab092471aa33a71cf223ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-29T14:18:10Z",
    "title_canon_sha256": "557cf50395ed855cbcaf1229f340db7966b99d0a29f36791e312b92aaec9a2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08062",
    "kind": "arxiv",
    "version": 1
  }
}