Pith Number

pith:WGJAI4QD

pith:2009:WGJAI4QD2PZE5W4TMNA5AR7SLR

not attested not anchored not stored refs pending

Totally non-symplectic Anosov actions on tori and nilmanifolds

Boris Kalinin, David Fisher, Ralf Spatzier

arxiv:0905.2642 v2 · 2009-05-16 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGJAI4QD2PZE5W4TMNA5AR7SLR}

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	2026-05-18T02:38:18.844476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b192047203d3f24edb936341d047f25c7fb27eadb4122d6691db29d92e8b5c3c

Aliases

arxiv: 0905.2642 · arxiv_version: 0905.2642v2 · doi: 10.48550/arxiv.0905.2642 · pith_short_12: WGJAI4QD2PZE · pith_short_16: WGJAI4QD2PZE5W4T · pith_short_8: WGJAI4QD

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/WGJAI4QD2PZE5W4TMNA5AR7SLR \
  | 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: b192047203d3f24edb936341d047f25c7fb27eadb4122d6691db29d92e8b5c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64edf0052ab686030bedc37b7ba2dd543802b831340676754de7f3b29db5d33",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-05-16T01:02:38Z",
    "title_canon_sha256": "336ad4af68e6752f0fdde520a383daa51f203f687dc2fb35dbce7390f3aee95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2642",
    "kind": "arxiv",
    "version": 2
  }
}