Pith Number

pith:LKZLGPKO

pith:2012:LKZLGPKOIVEAAARRCMSWN3R2FM

not attested not anchored not stored refs pending

The reversibility and an SPDE for the generalized Fleming-Viot Processes with mutation

Huili Liu, Jie Xiong, Xiaowen Zhou, Zenghu Li

arxiv:1210.3259 v1 · 2012-10-11 · 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{LKZLGPKOIVEAAARRCMSWN3R2FM}

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	2026-05-18T03:43:27.868587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab2b33d4e4548000231132566ee3a2b085fb819fb2c92f99cbb1d564713b259

Aliases

arxiv: 1210.3259 · arxiv_version: 1210.3259v1 · doi: 10.48550/arxiv.1210.3259 · pith_short_12: LKZLGPKOIVEA · pith_short_16: LKZLGPKOIVEAAARR · pith_short_8: LKZLGPKO

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/LKZLGPKOIVEAAARRCMSWN3R2FM \
  | 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: 5ab2b33d4e4548000231132566ee3a2b085fb819fb2c92f99cbb1d564713b259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02aacd0249f18310e6a2a407bf599654e68278c72b569f95cbaa529f317beb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-11T14:41:27Z",
    "title_canon_sha256": "b41658a188b117df87a87f7c679b39b3754758b0070a4dc5f1fe72968c338bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3259",
    "kind": "arxiv",
    "version": 1
  }
}