Pith Number

pith:MDMEGEXV

pith:2013:MDMEGEXVSEC2OUT3MFHR6GG3OL

not attested not anchored not stored refs pending

Hyperbolicity of minimal periodic orbits

Chong-Qing Cheng, Min Zhou

arxiv:1302.4889 v2 · 2013-02-20 · 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{MDMEGEXVSEC2OUT3MFHR6GG3OL}

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	2026-05-18T02:25:19.103540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d84312f59105a7527b614f1f18db72c6fd825b050f1a094d844b882e65085d

Aliases

arxiv: 1302.4889 · arxiv_version: 1302.4889v2 · doi: 10.48550/arxiv.1302.4889 · pith_short_12: MDMEGEXVSEC2 · pith_short_16: MDMEGEXVSEC2OUT3 · pith_short_8: MDMEGEXV

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/MDMEGEXVSEC2OUT3MFHR6GG3OL \
  | 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: 60d84312f59105a7527b614f1f18db72c6fd825b050f1a094d844b882e65085d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64cafc5ebdf0104db68bf11a48e5b76934971001ebc52ceb2a9e425bcb1a9c52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-20T12:41:30Z",
    "title_canon_sha256": "1fad97b52d2cd674c096f0e1e80cab9aee18c7eeae3ebf4605225d5fd47b6b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4889",
    "kind": "arxiv",
    "version": 2
  }
}