Pith Number

pith:7PQIIXND

pith:2011:7PQIIXNDCD7PUKMLPLQ5YX3PCR

not attested not anchored not stored refs pending

Openness Stability and Implicit Multifunction Theorems. Applications to Variational Systems

Marius Durea, Radu Strugariu

arxiv:1102.0415 v2 · 2011-02-02 · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PQIIXNDCD7PUKMLPLQ5YX3PCR}

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	2026-05-18T00:56:58.028948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe0845da310fefa298b7ae1dc5f6f14707b457e2c517cd8f68138a137d8ab41

Aliases

arxiv: 1102.0415 · arxiv_version: 1102.0415v2 · doi: 10.48550/arxiv.1102.0415 · pith_short_12: 7PQIIXNDCD7P · pith_short_16: 7PQIIXNDCD7PUKML · pith_short_8: 7PQIIXND

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/7PQIIXNDCD7PUKMLPLQ5YX3PCR \
  | 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: fbe0845da310fefa298b7ae1dc5f6f14707b457e2c517cd8f68138a137d8ab41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad973ec3cfb39c86220b9537f233637197797388676b5ff5703326e33f42ee2d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-02T12:20:28Z",
    "title_canon_sha256": "2b83e9c85dff8203b7f38c5b34cfaea219a5913b4307defd7468a4df2c045e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0415",
    "kind": "arxiv",
    "version": 2
  }
}