Pith Number

pith:EKFYLTVQ

pith:2016:EKFYLTVQRWNHJFOZVBLBKO4G4Q

not attested not anchored not stored refs pending

Heteroclinic Cycles in Systems with $\mathbb{Z}_2\times\mathbb{Z}_2\times\mathbb{Z}_2$ Symmetry, Revisited

Adrian C. Murza

arxiv:1611.02349 v4 · 2016-11-08 · 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{EKFYLTVQRWNHJFOZVBLBKO4G4Q}

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	2026-05-18T00:56:45.169540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228b85ceb08d9a7495d9a856153b86e43d143a4c5e938aa20a4b7d812ec7edf2

Aliases

arxiv: 1611.02349 · arxiv_version: 1611.02349v4 · doi: 10.48550/arxiv.1611.02349 · pith_short_12: EKFYLTVQRWNH · pith_short_16: EKFYLTVQRWNHJFOZ · pith_short_8: EKFYLTVQ

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/EKFYLTVQRWNHJFOZVBLBKO4G4Q \
  | 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: 228b85ceb08d9a7495d9a856153b86e43d143a4c5e938aa20a4b7d812ec7edf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3e5faab3fd37677cc7a915be98011a8f7253bf9ebdfa9a66b8565de50a90b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-08T00:28:26Z",
    "title_canon_sha256": "4cd9c88af147f93cd2fed28b5957198345ea96c221b8e41de7c68b0f66cbde22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02349",
    "kind": "arxiv",
    "version": 4
  }
}