Pith Number

pith:4WDY67XC

pith:2015:4WDY67XCPESJ4ZADEXNQPOQGFT

not attested not anchored not stored refs pending

Global bifurcations of limit cycles in a Holling-type dynamical system

Valery A. Gaiko

arxiv:1504.03353 v2 · 2015-04-13 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WDY67XCPESJ4ZADEXNQPOQGFT}

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	2026-05-18T01:36:18.097741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5878f7ee279249e640325db07ba062cc9834a42a849710bc69576d1862679d1

Aliases

arxiv: 1504.03353 · arxiv_version: 1504.03353v2 · doi: 10.48550/arxiv.1504.03353 · pith_short_12: 4WDY67XCPESJ · pith_short_16: 4WDY67XCPESJ4ZAD · pith_short_8: 4WDY67XC

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/4WDY67XCPESJ4ZADEXNQPOQGFT \
  | 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: e5878f7ee279249e640325db07ba062cc9834a42a849710bc69576d1862679d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc73eca61a8fc0ec088abcf7ccc78dfa501827b13bca07329e328d90d49b970",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-13T20:31:39Z",
    "title_canon_sha256": "1023075e11635d54f2ac222b314bcd24dfc371501345812809cb366931256b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03353",
    "kind": "arxiv",
    "version": 2
  }
}