Pith Number

pith:Z5NFMAOS

pith:2010:Z5NFMAOSCO6XTD6KHY4AR5KEMY

not attested not anchored not stored refs pending

Anosov actions of (n-1)-dimensional Lie groups on n-dimensional manifolds

Shigenori Matsumoto, Takashi Inaba, Yoshihiko Mitsumatsu

arxiv:1004.1024 v5 · 2010-04-07 · 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{Z5NFMAOSCO6XTD6KHY4AR5KEMY}

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	2026-05-18T04:00:27.147173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5a5601d213bd798fca3e3808f5446616b7669f7c8df9be81db8b5ea6cc0adb

Aliases

arxiv: 1004.1024 · arxiv_version: 1004.1024v5 · doi: 10.48550/arxiv.1004.1024 · pith_short_12: Z5NFMAOSCO6X · pith_short_16: Z5NFMAOSCO6XTD6K · pith_short_8: Z5NFMAOS

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/Z5NFMAOSCO6XTD6KHY4AR5KEMY \
  | 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: cf5a5601d213bd798fca3e3808f5446616b7669f7c8df9be81db8b5ea6cc0adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595333840d6dabf722d08ec88e2af6efaa3bab72549ebc2cbfc4d171b42b3537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-07T08:20:09Z",
    "title_canon_sha256": "15e21f16d78b339a95b1ab81889257f1562cdc1ca9f34e69261a10f419368456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1024",
    "kind": "arxiv",
    "version": 5
  }
}