Pith Number

pith:MYDOHFM2

pith:2018:MYDOHFM2NIJWEOBHPAWFC32JIV

not attested not anchored not stored refs pending

Volume lemmas for partially hyperbolic endomorphisms and applications

Anderson Cruz, Giovane Ferreira, Paulo Varandas

arxiv:1810.02751 v1 · 2018-10-05 · 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{MYDOHFM2NIJWEOBHPAWFC32JIV}

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	2026-05-18T00:04:00.725391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6606e3959a6a13623827782c516f494577bcb3c2ade5953a733878cdb4aba499

Aliases

arxiv: 1810.02751 · arxiv_version: 1810.02751v1 · doi: 10.48550/arxiv.1810.02751 · pith_short_12: MYDOHFM2NIJW · pith_short_16: MYDOHFM2NIJWEOBH · pith_short_8: MYDOHFM2

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/MYDOHFM2NIJWEOBHPAWFC32JIV \
  | 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: 6606e3959a6a13623827782c516f494577bcb3c2ade5953a733878cdb4aba499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8893e3afd1088dd691b48273f6859bd521f11731b06cd8a3fc13c565f8b75a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-05T15:33:46Z",
    "title_canon_sha256": "3f83c6a93014e1ecd3b7298784316ae7bc85de3c26a0234134c5ebbc46b4fd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02751",
    "kind": "arxiv",
    "version": 1
  }
}