Pith Number

pith:7KWCMOYD

pith:2015:7KWCMOYDTGVD376TGDOT72SQHA

not attested not anchored not stored refs pending

A degenerate Hopf bifurcation in retarded functional differential equations, and applications to endemic bubbles

Victor G. LeBlanc

arxiv:1502.06928 v2 · 2015-02-24 · 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{7KWCMOYDTGVD376TGDOT72SQHA}

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	2026-05-18T01:20:36.810134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faac263b0399aa3dffd330dd3fea50383e20ef1a8d9b6be66f53ee102691dc9c

Aliases

arxiv: 1502.06928 · arxiv_version: 1502.06928v2 · doi: 10.48550/arxiv.1502.06928 · pith_short_12: 7KWCMOYDTGVD · pith_short_16: 7KWCMOYDTGVD376T · pith_short_8: 7KWCMOYD

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/7KWCMOYDTGVD376TGDOT72SQHA \
  | 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: faac263b0399aa3dffd330dd3fea50383e20ef1a8d9b6be66f53ee102691dc9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0efd10cbbe2af89c8554b7dc567d422a08102df0767a8a19cc17eb4b76200f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-24T20:00:45Z",
    "title_canon_sha256": "de5f68fa4ddeb3c41a01216c70d39435c82908243a6dddcc5706513153c3ff55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06928",
    "kind": "arxiv",
    "version": 2
  }
}