Pith Number

pith:RKDMYZKC

pith:2025:RKDMYZKCYZFNYWD7ZJQQLZO6CA

not attested not anchored not stored refs pending

Typicality of periodic optimization over an expanding circle map

Rui Gao, Ruiqin Zhang, Weixiao Shen

arxiv:2501.10949 v3 · 2025-01-19 · 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{RKDMYZKCYZFNYWD7ZJQQLZO6CA}

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.

Cited by

1 paper in Pith

Joint typical periodic optimization

Receipt and verification

First computed	2026-06-12T01:09:06.800252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a86cc6542c64adc587fca6105e5de1004450274176a244f45ee9215e74443aa

Aliases

arxiv: 2501.10949 · arxiv_version: 2501.10949v3 · doi: 10.48550/arxiv.2501.10949 · pith_short_12: RKDMYZKCYZFN · pith_short_16: RKDMYZKCYZFNYWD7 · pith_short_8: RKDMYZKC

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/RKDMYZKCYZFNYWD7ZJQQLZO6CA \
  | 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: 8a86cc6542c64adc587fca6105e5de1004450274176a244f45ee9215e74443aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ff1d0bbe42eebab32c99c90c384eead187e4997820d029231952cb6104546a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-19T05:12:09Z",
    "title_canon_sha256": "311fa9e0bdfb2e2a001c84e0f05d364dc1770849dedef2de8e16510c673e763a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10949",
    "kind": "arxiv",
    "version": 3
  }
}