Pith Number

pith:PDXH3JPI

pith:2018:PDXH3JPI3PV3ADA24LJR4FJIK6

not attested not anchored not stored refs pending

Tails in a fixed-point problem for a branching process with state-independent immigration

Masakiyo Miyazawa, Sergey Foss

arxiv:1808.09209 v3 · 2018-08-28 · 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{PDXH3JPI3PV3ADA24LJR4FJIK6}

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	2026-05-17T23:59:27.764955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ee7da5e8dbebb00c1ae2d31e15285790f7183ce0a447ec22f505483b486ae0

Aliases

arxiv: 1808.09209 · arxiv_version: 1808.09209v3 · doi: 10.48550/arxiv.1808.09209 · pith_short_12: PDXH3JPI3PV3 · pith_short_16: PDXH3JPI3PV3ADA2 · pith_short_8: PDXH3JPI

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/PDXH3JPI3PV3ADA24LJR4FJIK6 \
  | 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: 78ee7da5e8dbebb00c1ae2d31e15285790f7183ce0a447ec22f505483b486ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df24f345bdb036eb31935ba49ae50116245ab232d50c2eab5998ded8998baa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-28T10:30:31Z",
    "title_canon_sha256": "5293b6d22b1030f0024e9c7eb3e9512851d116f01cd46f5094dd8e8493c5a1eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09209",
    "kind": "arxiv",
    "version": 3
  }
}