Pith Number

pith:WEYZJ3K5

pith:2015:WEYZJ3K5UQUAINNH7BTCMWOMQJ

not attested not anchored not stored refs pending

Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space

Alain Haraux (LJLL), Mama Abdelli, Mar\'ia Anguiano (LJLL)

arxiv:1512.06537 v2 · 2015-12-21 · math.CA · 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{WEYZJ3K5UQUAINNH7BTCMWOMQJ}

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	2026-05-18T00:55:34.375919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b13194ed5da4280435a7f8662659cc825a775f517568a475e69a4b47d47c81cb

Aliases

arxiv: 1512.06537 · arxiv_version: 1512.06537v2 · doi: 10.48550/arxiv.1512.06537 · pith_short_12: WEYZJ3K5UQUA · pith_short_16: WEYZJ3K5UQUAINNH · pith_short_8: WEYZJ3K5

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/WEYZJ3K5UQUAINNH7BTCMWOMQJ \
  | 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: b13194ed5da4280435a7f8662659cc825a775f517568a475e69a4b47d47c81cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9868695ae98177aafec2540aa7917047e27bc3571dc3ac8e1cbf09ede5a2dad0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-21T09:14:06Z",
    "title_canon_sha256": "58b283f4638260d8d837f6a4bc88bdb183c279b51912b7b11d502c4ff2405336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06537",
    "kind": "arxiv",
    "version": 2
  }
}