Pith Number

pith:XNEYMPME

pith:2016:XNEYMPMEOUNVKGBSULYTXX523V

not attested not anchored not stored refs pending

Asymptotic properties of a stochastic Gilpin-Ayala model under regime switching

Kai Wang, Yanling Zhu

arxiv:1606.01462 v4 · 2016-06-05 · 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{XNEYMPMEOUNVKGBSULYTXX523V}

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	2026-05-18T00:02:02.377064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb49863d84751b551832a2f13bdfbadd4baeb2d4dd9f29a4e0ff5aeac16e9604

Aliases

arxiv: 1606.01462 · arxiv_version: 1606.01462v4 · doi: 10.48550/arxiv.1606.01462 · pith_short_12: XNEYMPMEOUNV · pith_short_16: XNEYMPMEOUNVKGBS · pith_short_8: XNEYMPME

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/XNEYMPMEOUNVKGBSULYTXX523V \
  | 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: bb49863d84751b551832a2f13bdfbadd4baeb2d4dd9f29a4e0ff5aeac16e9604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ab2f0a7d81465a1c4cd7299a2de182717bf03e70e13f9edf7c8a45fae33bcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-05T04:47:13Z",
    "title_canon_sha256": "95bb2ee82d138df012ec52662b0eb59c426c7ffdfa2ccc1ed7eb6eab19c02fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01462",
    "kind": "arxiv",
    "version": 4
  }
}