Pith Number

pith:EOTKPQ6B

pith:2015:EOTKPQ6BVEXOKVLPCS45TO4L4M

not attested not anchored not stored refs pending

Hopf bifurcation at infinity and dissipative vector fields of the plane

Bego\~na Alarc\'on, Roland Rabanal

arxiv:1503.07617 v2 · 2015-03-26 · 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{EOTKPQ6BVEXOKVLPCS45TO4L4M}

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	2026-05-17T23:39:33.452687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a6a7c3c1a92ee5556f14b9d9bb8be300e2837058bf61160933ea80b95d91d3

Aliases

arxiv: 1503.07617 · arxiv_version: 1503.07617v2 · doi: 10.48550/arxiv.1503.07617 · pith_short_12: EOTKPQ6BVEXO · pith_short_16: EOTKPQ6BVEXOKVLP · pith_short_8: EOTKPQ6B

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/EOTKPQ6BVEXOKVLPCS45TO4L4M \
  | 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: 23a6a7c3c1a92ee5556f14b9d9bb8be300e2837058bf61160933ea80b95d91d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a3e5d238e4c9ee0efd74c04441d07017716aefe8ea5df1184b9be592241e96",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-26T04:39:47Z",
    "title_canon_sha256": "90717263150f192162212ab5fdfa3dd61cdfa6a9753b9ae6273eda81e4552de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07617",
    "kind": "arxiv",
    "version": 2
  }
}