Pith Number

pith:PPKXTJMA

pith:2015:PPKXTJMAKHXJHJZAW2MW6LFOZ5

not attested not anchored not stored refs pending

On non-dense orbits of certain non-algebraic dynamical systems

Weisheng Wu

arxiv:1507.08149 v3 · 2015-07-29 · 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{PPKXTJMAKHXJHJZAW2MW6LFOZ5}

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	2026-05-18T01:23:44.623130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd579a58051ee93a720b6996f2caecf658c78e68c82fa2a3dddb7a6871fbf9d

Aliases

arxiv: 1507.08149 · arxiv_version: 1507.08149v3 · doi: 10.48550/arxiv.1507.08149 · pith_short_12: PPKXTJMAKHXJ · pith_short_16: PPKXTJMAKHXJHJZA · pith_short_8: PPKXTJMA

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/PPKXTJMAKHXJHJZAW2MW6LFOZ5 \
  | 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: 7bd579a58051ee93a720b6996f2caecf658c78e68c82fa2a3dddb7a6871fbf9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4aa2f99da85aed817c9a6deed437349376f2d39e8f073b660824ca3f82f7859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-29T14:10:15Z",
    "title_canon_sha256": "57c0db6a2d99de1cea33ef3c3e2f411fbf117852de4c0f2b15071d07d88a292f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08149",
    "kind": "arxiv",
    "version": 3
  }
}