Pith Number

pith:DAPEZBVO

pith:2015:DAPEZBVOOYMUXMXXCZJQMPGIKK

not attested not anchored not stored refs pending

Existence of Heterodimensional Cycles near Shilnikov Loops in Systems with a $\mathbb{Z}_2$ Symmetry

Dmitry V. Turaev, Dongchen Li

arxiv:1512.01280 v3 · 2015-12-03 · 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{DAPEZBVOOYMUXMXXCZJQMPGIKK}

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	2026-05-17T23:54:32.128732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

181e4c86ae76194bb2f71653063cc852873632d1a342ac290df78143badbaf99

Aliases

arxiv: 1512.01280 · arxiv_version: 1512.01280v3 · doi: 10.48550/arxiv.1512.01280 · pith_short_12: DAPEZBVOOYMU · pith_short_16: DAPEZBVOOYMUXMXX · pith_short_8: DAPEZBVO

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/DAPEZBVOOYMUXMXXCZJQMPGIKK \
  | 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: 181e4c86ae76194bb2f71653063cc852873632d1a342ac290df78143badbaf99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c021f8ef2f83f8d7e342f3e5199d1bffc6c6d7b04051f810db3b7b2f50a9bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-03T23:24:08Z",
    "title_canon_sha256": "3a3b762e5d847710076e3e54955569b9b9333069c09fb20fed7e5adadf66849c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01280",
    "kind": "arxiv",
    "version": 3
  }
}