Pith Number

pith:YV6WSTGX

pith:2014:YV6WSTGXK5VPLTKIQUUPC2JDED

not attested not anchored not stored refs pending

Hopf bifurcation and heteroclinic cycles in a class of $\mathbb{D}_2-$equivariant systems

Adrian C. Murza

arxiv:1406.3856 v1 · 2014-06-15 · 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{YV6WSTGXK5VPLTKIQUUPC2JDED}

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	2026-05-18T02:49:39.604063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57d694cd7576af5cd488528f1692320c15d7eebd88fefb4d3dca4b0635ac5d1

Aliases

arxiv: 1406.3856 · arxiv_version: 1406.3856v1 · doi: 10.48550/arxiv.1406.3856 · pith_short_12: YV6WSTGXK5VP · pith_short_16: YV6WSTGXK5VPLTKI · pith_short_8: YV6WSTGX

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/YV6WSTGXK5VPLTKIQUUPC2JDED \
  | 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: c57d694cd7576af5cd488528f1692320c15d7eebd88fefb4d3dca4b0635ac5d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552743e24e52ece1645a29617852d851b320d9260cf219494ce649c0aee46064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-15T19:48:29Z",
    "title_canon_sha256": "f31a7a84efa2b5b3aa59ba23c718011f6c7121d5455532bbe2de417bf3da30a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3856",
    "kind": "arxiv",
    "version": 1
  }
}