Pith Number

pith:YKDFS3CQ

pith:2011:YKDFS3CQK3U5RI7YNQ4B6243LZ

not attested not anchored not stored refs pending

Chain Rules for Linear Openness in Metric Spaces. Applications to Parametric Variational Systems

Marius Durea, Radu Strugariu

arxiv:1106.1815 v1 · 2011-06-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKDFS3CQK3U5RI7YNQ4B6243LZ}

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	2026-05-18T04:20:15.111074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c286596c5056e9d8a3f86c381f6b9b5e43d0fb4601477824718c843cfb167dcd

Aliases

arxiv: 1106.1815 · arxiv_version: 1106.1815v1 · doi: 10.48550/arxiv.1106.1815 · pith_short_12: YKDFS3CQK3U5 · pith_short_16: YKDFS3CQK3U5RI7Y · pith_short_8: YKDFS3CQ

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/YKDFS3CQK3U5RI7YNQ4B6243LZ \
  | 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: c286596c5056e9d8a3f86c381f6b9b5e43d0fb4601477824718c843cfb167dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e186ae03f8baf7361ea419b1731d2103b1ac9ecafcdc3e0e83cad2e016bfa42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-03T09:19:12Z",
    "title_canon_sha256": "e168b14ee9e2c1824e4c0315287acb8fc805c37a61bb912e44c8d8f2c81aa724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1815",
    "kind": "arxiv",
    "version": 1
  }
}