Pith Number

pith:KYJPGUY5

pith:2016:KYJPGUY5FELYYJPEV3L6WFLF2K

not attested not anchored not stored refs pending

Abundance of fast growth of the number of periodic points in 2-dimensional area-preserving dynamics

Masayuki Asaoka

arxiv:1603.08639 v2 · 2016-03-29 · 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{KYJPGUY5FELYYJPEV3L6WFLF2K}

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	2026-05-18T00:35:25.090312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5612f3531d29178c25e4aed7eb1565d28e2d8e34b259a7bd5e65b48823b2a036

Aliases

arxiv: 1603.08639 · arxiv_version: 1603.08639v2 · doi: 10.48550/arxiv.1603.08639 · pith_short_12: KYJPGUY5FELY · pith_short_16: KYJPGUY5FELYYJPE · pith_short_8: KYJPGUY5

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/KYJPGUY5FELYYJPEV3L6WFLF2K \
  | 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: 5612f3531d29178c25e4aed7eb1565d28e2d8e34b259a7bd5e65b48823b2a036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253d12d49d84def3ec57f0a49701e934464a69e40187bf7b16aea78be6e1816e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-29T04:42:57Z",
    "title_canon_sha256": "c47461cb5aa51c2a26a77471c60e4d3aaa9e1c8aa9b8bf5c336a1a592db90b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08639",
    "kind": "arxiv",
    "version": 2
  }
}