Pith Number

pith:W3UIJKT2

pith:2018:W3UIJKT2NBMD5Z7APA4JYBUM5O

not attested not anchored not stored refs pending

Multi-type branching processes with time dependent branching rates

Dmitry Dolgopyat, Leonid Koralov, Mark Perlman, Pratima Hebbar

arxiv:1810.10470 v1 · 2018-10-24 · 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{W3UIJKT2NBMD5Z7APA4JYBUM5O}

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	2026-05-18T00:00:12.730840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e884aa7a68583ee7e078389c068ceb8d206dece1a58994231b9b7b9ba8cc5b

Aliases

arxiv: 1810.10470 · arxiv_version: 1810.10470v1 · doi: 10.48550/arxiv.1810.10470 · pith_short_12: W3UIJKT2NBMD · pith_short_16: W3UIJKT2NBMD5Z7A · pith_short_8: W3UIJKT2

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/W3UIJKT2NBMD5Z7APA4JYBUM5O \
  | 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: b6e884aa7a68583ee7e078389c068ceb8d206dece1a58994231b9b7b9ba8cc5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c57709a8511a22e1cd2db3f1e221b8c55475146fee6d156569618f54093e7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-24T16:08:55Z",
    "title_canon_sha256": "3da5237d2f87e297a279a3307f5c464e6de741cb366661672b16e017516244f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10470",
    "kind": "arxiv",
    "version": 1
  }
}