Pith Number

pith:QHMNEJ2T

pith:2026:QHMNEJ2TZR25TAW5XGZ5BMEULJ

not attested not anchored not stored refs pending

Relative Periodic Orbits in the Gutzwiller-type Anisotropic Kepler Problem and $n$-body Problem

Xijun Hu, Yifan Yang, Yuwei Ou, Zhiwen Qiao

arxiv:2608.12901 v1 · 2026-08-13 · math.DS · math.CA · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHMNEJ2TZR25TAW5XGZ5BMEULJ}

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	2026-08-14T00:58:41.742275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d8d22753cc75d982ddb9b3d0b0945a54677a99a1b3fee47b5b4989690d159a

Aliases

arxiv: 2608.12901 · arxiv_version: 2608.12901v1 · doi: 10.48550/arxiv.2608.12901 · pith_short_12: QHMNEJ2TZR25 · pith_short_16: QHMNEJ2TZR25TAW5 · pith_short_8: QHMNEJ2T

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/QHMNEJ2TZR25TAW5XGZ5BMEULJ \
  | 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: 81d8d22753cc75d982ddb9b3d0b0945a54677a99a1b3fee47b5b4989690d159a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631afe0f5bf461855ee0c045fae29bbdf97bc06b2de0e09ed1a9f8c02a592093",
    "cross_cats_sorted": [
      "math.CA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-08-13T07:35:47Z",
    "title_canon_sha256": "076db0afddb0e5f7f22a3a746c79afd4a57f7991685ec1e4f61462cc9ab3838e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12901",
    "kind": "arxiv",
    "version": 1
  }
}