Pith Number

pith:CIDYSU25

pith:2015:CIDYSU25K3XVMVN5LQIIVC5M4B

not attested not anchored not stored refs pending

Analysis of a non-autonomous mutualism model driven by Levy jumps

Binjun Wang, Hongjun Gao, Mei Li

arxiv:1507.06777 v1 · 2015-07-24 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIDYSU25K3XVMVN5LQIIVC5M4B}

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	2026-05-18T01:36:22.416820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120789535d56ef5655bd5c108a8bace0733b4c8a3dad1a738a0a8985c64dc954

Aliases

arxiv: 1507.06777 · arxiv_version: 1507.06777v1 · doi: 10.48550/arxiv.1507.06777 · pith_short_12: CIDYSU25K3XV · pith_short_16: CIDYSU25K3XVMVN5 · pith_short_8: CIDYSU25

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/CIDYSU25K3XVMVN5LQIIVC5M4B \
  | 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: 120789535d56ef5655bd5c108a8bace0733b4c8a3dad1a738a0a8985c64dc954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe5e1cc684e259103e51118b8f6c4b4a15e1e79c6ab84db795aa6fdb6aba64d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-24T08:27:28Z",
    "title_canon_sha256": "13fcf9898539a0416f67b1c1a8c68f8e3102eab4a5314c7b9e6fc290ee1c421c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06777",
    "kind": "arxiv",
    "version": 1
  }
}