Pith Number

pith:4YSIINJ6

pith:2002:4YSIINJ67GXYLSS4PAAPQ2OFTL

not attested not anchored not stored refs pending

On frequencies of small oscillations of some dynamical systems associated with root systems

A.M. Perelomov

arxiv:math-ph/0205039 v2 · 2002-05-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YSIINJ67GXYLSS4PAAPQ2OFTL}

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	2026-05-18T01:38:34.182670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62484353ef9af85ca5c7800f869c59ae66e1373260df77c3ce228ab284ca783

Aliases

arxiv: math-ph/0205039 · arxiv_version: math-ph/0205039v2 · doi: 10.48550/arxiv.math-ph/0205039 · pith_short_12: 4YSIINJ67GXY · pith_short_16: 4YSIINJ67GXYLSS4 · pith_short_8: 4YSIINJ6

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/4YSIINJ67GXYLSS4PAAPQ2OFTL \
  | 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: e62484353ef9af85ca5c7800f869c59ae66e1373260df77c3ce228ab284ca783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39edfc1622347f39a788fcbd82db04458d736c7f006fa1dd4ed28a87147784b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-05-25T11:49:43Z",
    "title_canon_sha256": "8932f7c91a2537884004f7fbf948a830eb13348274b22cbc0f361f6dd9645a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0205039",
    "kind": "arxiv",
    "version": 2
  }
}