Pith Number

pith:VXAEPHM3

pith:2018:VXAEPHM3MMUMCS4FNI7SXGHWPL

not attested not anchored not stored refs pending

Hopf-like boundary equilibrium bifurcations involving two foci in Filippov systems

David J.W. Simpson

arxiv:1812.03587 v1 · 2018-12-10 · 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{VXAEPHM3MMUMCS4FNI7SXGHWPL}

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	2026-05-17T23:58:44.365525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc0479d9b6328c14b856a3f2b98f67ada7b5c444f459f04c5ac3e9a3190cc6b

Aliases

arxiv: 1812.03587 · arxiv_version: 1812.03587v1 · doi: 10.48550/arxiv.1812.03587 · pith_short_12: VXAEPHM3MMUM · pith_short_16: VXAEPHM3MMUMCS4F · pith_short_8: VXAEPHM3

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/VXAEPHM3MMUMCS4FNI7SXGHWPL \
  | 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: adc0479d9b6328c14b856a3f2b98f67ada7b5c444f459f04c5ac3e9a3190cc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a647a76e9881389760218404110575f76cbd32292537e6607f2052fbc6711831",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-10T00:55:21Z",
    "title_canon_sha256": "f12b8e0ceb9b72d1334e6ea043552e971c9f35755135ad340c4ee7fa915bf9e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03587",
    "kind": "arxiv",
    "version": 1
  }
}