Pith Number

pith:3CBMA5OR

pith:2017:3CBMA5OR4YFEAJQ5HGSAF7X3NQ

not attested not anchored not stored refs pending

On the growth rate of periodic orbits for vector fields

Dawei Yang, Wanlou Wu, Yong Zhang

arxiv:1709.06717 v1 · 2017-09-20 · 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{3CBMA5OR4YFEAJQ5HGSAF7X3NQ}

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	2026-05-18T00:34:40.706110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d882c075d1e60a40261d39a402fefb6c10ad3cbd9e6b2494102bdf210d681669

Aliases

arxiv: 1709.06717 · arxiv_version: 1709.06717v1 · doi: 10.48550/arxiv.1709.06717 · pith_short_12: 3CBMA5OR4YFE · pith_short_16: 3CBMA5OR4YFEAJQ5 · pith_short_8: 3CBMA5OR

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/3CBMA5OR4YFEAJQ5HGSAF7X3NQ \
  | 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: d882c075d1e60a40261d39a402fefb6c10ad3cbd9e6b2494102bdf210d681669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878afc94d504d5e7f427f2f08197d13f0ac16bc240e9fb493cccf2045c1cf928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-20T03:53:14Z",
    "title_canon_sha256": "610ed1032a158d40fe193d6be46df7dca430316ccee20770c16e53af821eb204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06717",
    "kind": "arxiv",
    "version": 1
  }
}