Pith Number

pith:IMISP2VB

pith:2020:IMISP2VBQLID42K3P64NLBXXZ4

not attested not anchored not stored refs pending

Sturm-Liouville Theory and Decay Parameter for Quadratic Markov Branching Processes

Anyue Chen, Wujun Gao, Xiaohan Wu, Yong Chen

arxiv:2010.03229 v2 · 2020-10-07 · 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{IMISP2VBQLID42K3P64NLBXXZ4}

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	2026-07-05T02:50:07.003384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431127eaa182d03e695b7fb8d586f7cf12174828f5e8392f4bafa0ad7d41d75c

Aliases

arxiv: 2010.03229 · arxiv_version: 2010.03229v2 · doi: 10.48550/arxiv.2010.03229 · pith_short_12: IMISP2VBQLID · pith_short_16: IMISP2VBQLID42K3 · pith_short_8: IMISP2VB

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/IMISP2VBQLID42K3P64NLBXXZ4 \
  | 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: 431127eaa182d03e695b7fb8d586f7cf12174828f5e8392f4bafa0ad7d41d75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ab44eabab41d1ca7d97314b049d3e8d21b7c7d9439e71a07c33770b58963e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-10-07T07:25:30Z",
    "title_canon_sha256": "b65e35944e9ff3d57c8d048c53ee088c39c4fa49d3ef6f32b74fb383350f1f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.03229",
    "kind": "arxiv",
    "version": 2
  }
}