Pith Number

pith:ZAZOA7YD

pith:2016:ZAZOA7YD36U25FPJDB5KFGPJME

not attested not anchored not stored refs pending

Perturbation of a Nonsmooth Supercritical Hopf Bifurcation

Julie Leifeld

arxiv:1601.07930 v1 · 2016-01-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAZOA7YD36U25FPJDB5KFGPJME}

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	2026-05-18T01:21:41.470873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c832e07f03dfa9ae95e9187aa299e9613e296f5abbac300a36376af74a3f0302

Aliases

arxiv: 1601.07930 · arxiv_version: 1601.07930v1 · doi: 10.48550/arxiv.1601.07930 · pith_short_12: ZAZOA7YD36U2 · pith_short_16: ZAZOA7YD36U25FPJ · pith_short_8: ZAZOA7YD

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/ZAZOA7YD36U25FPJDB5KFGPJME \
  | 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: c832e07f03dfa9ae95e9187aa299e9613e296f5abbac300a36376af74a3f0302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24823453eecdaff037b747ed6c98b59b20af78caa0ca5355ecf2f5ea438d7186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-28T22:09:11Z",
    "title_canon_sha256": "a3822bcd096715289421357a835a12cc0055ddf6bc2a79e0cc702ceac5189702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07930",
    "kind": "arxiv",
    "version": 1
  }
}