Pith Number

pith:6OG2UCBA

pith:2014:6OG2UCBAI2JENZNAJKMK53Z2AG

not attested not anchored not stored refs pending

A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory

Andrea Bonfiglioli, Annamaria Montanari, Daniele Morbidelli

arxiv:1408.3707 v2 · 2014-08-16 · math.CA · 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{6OG2UCBAI2JENZNAJKMK53Z2AG}

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	2026-05-18T02:28:40.518501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38daa0820469246e5a04a98aeef3a01aa64ab1f1c066b8cb0dd0cba89317300

Aliases

arxiv: 1408.3707 · arxiv_version: 1408.3707v2 · doi: 10.48550/arxiv.1408.3707 · pith_short_12: 6OG2UCBAI2JE · pith_short_16: 6OG2UCBAI2JENZNA · pith_short_8: 6OG2UCBA

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/6OG2UCBAI2JENZNAJKMK53Z2AG \
  | 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: f38daa0820469246e5a04a98aeef3a01aa64ab1f1c066b8cb0dd0cba89317300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74786182bf89d116d55ab990b3929c2140ef80e58b673ef908e115377e4191a5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-16T06:21:17Z",
    "title_canon_sha256": "875d84f5f6c57c8cf62880fa150df69f012a9419619311d28ee78118f175bdb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3707",
    "kind": "arxiv",
    "version": 2
  }
}