Pith Number

pith:ASZCL3DL

pith:2015:ASZCL3DLSP42N4R7HKFI4EPXAB

not attested not anchored not stored refs pending

Small deviations of a Galton-Watson process with immigration

Nadia Sidorova

arxiv:1509.01486 v2 · 2015-09-04 · 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{ASZCL3DLSP42N4R7HKFI4EPXAB}

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	2026-05-18T00:55:14.461138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b225ec6b93f9a6f23f3a8a8e11f70043c721f644b6db471e085d05c5cd7043

Aliases

arxiv: 1509.01486 · arxiv_version: 1509.01486v2 · doi: 10.48550/arxiv.1509.01486 · pith_short_12: ASZCL3DLSP42 · pith_short_16: ASZCL3DLSP42N4R7 · pith_short_8: ASZCL3DL

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/ASZCL3DLSP42N4R7HKFI4EPXAB \
  | 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: 04b225ec6b93f9a6f23f3a8a8e11f70043c721f644b6db471e085d05c5cd7043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c4532ad32651b8ca97df5f58d530f1797cc534308ab6b5e72d36511df49fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-04T15:11:22Z",
    "title_canon_sha256": "59fff9bc84046286946ae6682776603563d9660156cb7cc372e131a2c1feee5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01486",
    "kind": "arxiv",
    "version": 2
  }
}