Pith Number

pith:RMKMF3FD

pith:2013:RMKMF3FDY5ZDRXE34242LZJ7FR

not attested not anchored not stored refs pending

Analytic uniquely ergodic volume preserving maps on odd spheres

Anatole Katok, Bassam Fayad

arxiv:1309.3137 v1 · 2013-09-12 · 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{RMKMF3FDY5ZDRXE34242LZJ7FR}

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	2026-05-18T03:13:32.722638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b14c2eca3c77238dc9be6b9a5e53f2c5372b35637d29bf24b48bde1cd132394

Aliases

arxiv: 1309.3137 · arxiv_version: 1309.3137v1 · doi: 10.48550/arxiv.1309.3137 · pith_short_12: RMKMF3FDY5ZD · pith_short_16: RMKMF3FDY5ZDRXE3 · pith_short_8: RMKMF3FD

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/RMKMF3FDY5ZDRXE34242LZJ7FR \
  | 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: 8b14c2eca3c77238dc9be6b9a5e53f2c5372b35637d29bf24b48bde1cd132394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afeb06dc70b644356f8f0e499b2af47c0c093e31ef58f32dd7c2a427ce194fb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-12T12:31:00Z",
    "title_canon_sha256": "4cf7f64e0866b34309a75a8e6e455c11040ab12d85d65dd809959e127863785d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3137",
    "kind": "arxiv",
    "version": 1
  }
}