Pith Number

pith:OHGGDOO7

pith:2008:OHGGDOO7TTPILXBV2CFLMQSRSZ

not attested not anchored not stored refs pending

Affine symmetry in mechanics of collective and internal modes. Part I. Classical models

A. Martens, A. S{\l}awianowska, B. Go{\l}ubowska, E. E. Ro\.zko, J. J. S{\l}awianowski, V. Kovalchuk, Z. J. Zawistowski

arxiv:0802.3027 v1 · 2008-02-21 · 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{OHGGDOO7TTPILXBV2CFLMQSRSZ}

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	2026-05-18T02:16:00.971873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71cc61b9df9cde85dc35d08ab64251965153a60742823f4f5a7667142e8cc534

Aliases

arxiv: 0802.3027 · arxiv_version: 0802.3027v1 · doi: 10.48550/arxiv.0802.3027 · pith_short_12: OHGGDOO7TTPI · pith_short_16: OHGGDOO7TTPILXBV · pith_short_8: OHGGDOO7

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/OHGGDOO7TTPILXBV2CFLMQSRSZ \
  | 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: 71cc61b9df9cde85dc35d08ab64251965153a60742823f4f5a7667142e8cc534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94baf619981bfc789d6ad3863a869a6ad6a73dd0c75e31f2fe53ba1929b3c8d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-02-21T12:22:44Z",
    "title_canon_sha256": "3062c5354c6e2aa1402570ced9418620f1e9dcc294bc2b813a3ae4184c5c7b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3027",
    "kind": "arxiv",
    "version": 1
  }
}