Pith Number

pith:NBLYKC2N

pith:2018:NBLYKC2N4NG7S7EKOD5ZGCCE5Y

not attested not anchored not stored refs pending

Population Processes with Immigration

Dan Han, Joseph Whitmeyer, Stanislav Molchanov

arxiv:1812.05515 v1 · 2018-12-13 · 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{NBLYKC2N4NG7S7EKOD5ZGCCE5Y}

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	2026-05-17T23:58:20.074946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6857850b4de34df97c8a70fb930844ee2326dd5b9d5ed88cb2946aac510afdeb

Aliases

arxiv: 1812.05515 · arxiv_version: 1812.05515v1 · doi: 10.48550/arxiv.1812.05515 · pith_short_12: NBLYKC2N4NG7 · pith_short_16: NBLYKC2N4NG7S7EK · pith_short_8: NBLYKC2N

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/NBLYKC2N4NG7S7EKOD5ZGCCE5Y \
  | 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: 6857850b4de34df97c8a70fb930844ee2326dd5b9d5ed88cb2946aac510afdeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269e8ca481e8bcec7e95af1975ad7e842ce1758b0f94a645d1468991c4245b65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-13T16:45:03Z",
    "title_canon_sha256": "261e54a863f75cd42639c8c3a07fc7892d0c65773245f88bebf2d00dc52a4b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05515",
    "kind": "arxiv",
    "version": 1
  }
}