Pith Number

pith:FTHKN2P5

pith:2012:FTHKN2P5PFQOZKG5HC23DATOLC

not attested not anchored not stored refs pending

Dominated splitting for exterior powers and singular hyperbolicity

Luciana Salgado, Vitor Araujo

arxiv:1204.4843 v6 · 2012-04-21 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTHKN2P5PFQOZKG5HC23DATOLC}

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	2026-05-18T01:01:42.651664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccea6e9fd7960eca8dd38b5b1826e58b49211b364feab1290aeda863c949f08

Aliases

arxiv: 1204.4843 · arxiv_version: 1204.4843v6 · doi: 10.48550/arxiv.1204.4843 · pith_short_12: FTHKN2P5PFQO · pith_short_16: FTHKN2P5PFQOZKG5 · pith_short_8: FTHKN2P5

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/FTHKN2P5PFQOZKG5HC23DATOLC \
  | 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: 2ccea6e9fd7960eca8dd38b5b1826e58b49211b364feab1290aeda863c949f08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8297eb78af466369b684253b37849c9b560f89c19bef7b7966475b3789509236",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-21T22:21:18Z",
    "title_canon_sha256": "8cfd7d14ef71bd21e5776304fc9b784367dee2d8a2422d7dc09f83afa0f502c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4843",
    "kind": "arxiv",
    "version": 6
  }
}