Pith Number

pith:LHDQT4BB

pith:2024:LHDQT4BBQ5P77PMPYPIO5PSO2I

not attested not anchored not stored refs pending

Approximation of birth-death processes

Liping Li

arxiv:2409.05018 v1 · 2024-09-08 · 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{LHDQT4BBQ5P77PMPYPIO5PSO2I}

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	2026-07-05T09:04:42.974522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c709f021875fffbd8fc3d0eebe4ed20c24288213ddbc1f779627834a60c88e

Aliases

arxiv: 2409.05018 · arxiv_version: 2409.05018v1 · doi: 10.48550/arxiv.2409.05018 · pith_short_12: LHDQT4BBQ5P7 · pith_short_16: LHDQT4BBQ5P77PMP · pith_short_8: LHDQT4BB

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/LHDQT4BBQ5P77PMPYPIO5PSO2I \
  | 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: 59c709f021875fffbd8fc3d0eebe4ed20c24288213ddbc1f779627834a60c88e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a362e431eb79a0f943d6a56ffe60d94449ca454a8f915e1aa859993d7c44b38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-08T08:16:27Z",
    "title_canon_sha256": "fd25666a1e6878f10de688cb9a20b38bfccc6e0f18bb6c26edcfe0a89cd7dd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05018",
    "kind": "arxiv",
    "version": 1
  }
}