Pith Number

pith:LAZZPHRF

pith:2012:LAZZPHRFDN3H73XAHJBSKK3MXL

not attested not anchored not stored refs pending

Two population models with constrained migrations

Raoul Normand

arxiv:1206.5914 v1 · 2012-06-26 · 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{LAZZPHRFDN3H73XAHJBSKK3MXL}

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	2026-05-18T03:52:37.714236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5833979e251b767feee03a43252b6cbaccf3ec77104392c80520fbcd38fdcf54

Aliases

arxiv: 1206.5914 · arxiv_version: 1206.5914v1 · doi: 10.48550/arxiv.1206.5914 · pith_short_12: LAZZPHRFDN3H · pith_short_16: LAZZPHRFDN3H73XA · pith_short_8: LAZZPHRF

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/LAZZPHRFDN3H73XAHJBSKK3MXL \
  | 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: 5833979e251b767feee03a43252b6cbaccf3ec77104392c80520fbcd38fdcf54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cfb87dafb77a8fac6c018e9d1c507009bc51335324108c6947fab53656d6c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-26T08:23:55Z",
    "title_canon_sha256": "9a6983665c46bf5411bc513b48754f4f4e9e8e56af17cb41aefc0ca7a1ccae9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5914",
    "kind": "arxiv",
    "version": 1
  }
}