Pith Number

pith:YYJK63OX

pith:2006:YYJK63OXZKTC3N3W36XFKB5QBK

not attested not anchored not stored refs pending

Invariant manifolds, phase correlations of chaotic orbits and the spiral structure of galaxies

Christos Efthymiopoulos, Nikos Voglis, Panagiotis Tsoutsis

arxiv:astro-ph/0607174 v2 · 2006-07-10 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYJK63OXZKTC3N3W36XFKB5QBK}

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	2026-05-18T01:16:22.212218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c612af6dd7caa62db776dfae5507b00aa3be0cb750cc79cf2c6450bae48b16ef

Aliases

arxiv: astro-ph/0607174 · arxiv_version: astro-ph/0607174v2 · doi: 10.48550/arxiv.astro-ph/0607174 · pith_short_12: YYJK63OXZKTC · pith_short_16: YYJK63OXZKTC3N3W · pith_short_8: YYJK63OX

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/YYJK63OXZKTC3N3W36XFKB5QBK \
  | 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: c612af6dd7caa62db776dfae5507b00aa3be0cb750cc79cf2c6450bae48b16ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3bc8751177be3bc5630454b66b54e79aee82abb835c63bbd9b622fbf3b5a598",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-07-10T10:52:38Z",
    "title_canon_sha256": "f3d1163d5a93aec04a9a8cbba9938043715e99f98961cf418d07f83966b5d428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0607174",
    "kind": "arxiv",
    "version": 2
  }
}