Pith Number

pith:2MG5P3O5

pith:2015:2MG5P3O54HZQXBGCMH4OFQIGEX

not attested not anchored not stored refs pending

Limit cycles for a class of $\mathbb{Z}_{2n}-$equivariant systems without infinite equilibria

Adrian C. Murza, Isabel S. Labouriau

arxiv:1510.00853 v2 · 2015-10-03 · 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{2MG5P3O54HZQXBGCMH4OFQIGEX}

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	2026-05-18T01:15:00.262160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30dd7eddde1f30b84c261f8e2c10625c59b3d522d3a2f4e5b9db107824f083e

Aliases

arxiv: 1510.00853 · arxiv_version: 1510.00853v2 · doi: 10.48550/arxiv.1510.00853 · pith_short_12: 2MG5P3O54HZQ · pith_short_16: 2MG5P3O54HZQXBGC · pith_short_8: 2MG5P3O5

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/2MG5P3O54HZQXBGCMH4OFQIGEX \
  | 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: d30dd7eddde1f30b84c261f8e2c10625c59b3d522d3a2f4e5b9db107824f083e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e383ac2ad7d2b3cd0394f927a954a598c0f534fc62bfa8b424eef9d2a92e9c23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-03T18:03:42Z",
    "title_canon_sha256": "c49a9853c9fca228f2b96f1eacbdeb196cc7eb99f6317a601a28bb1de751f4b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00853",
    "kind": "arxiv",
    "version": 2
  }
}