Pith Number

pith:GQVEKO4Y

pith:2013:GQVEKO4YALSRLH35ZR7RXMSRGI

not attested not anchored not stored refs pending

Convergence of a mountain pass type algorithm for strongly indefinite problems and systems

Christopher Grumiau, Christophe Troestler

arxiv:1301.1456 v1 · 2013-01-08 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQVEKO4YALSRLH35ZR7RXMSRGI}

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	2026-05-18T03:36:57.464304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

342a453b9802e5159f7dcc7f1bb251323f7c656a00893d50d216b67587393489

Aliases

arxiv: 1301.1456 · arxiv_version: 1301.1456v1 · doi: 10.48550/arxiv.1301.1456 · pith_short_12: GQVEKO4YALSR · pith_short_16: GQVEKO4YALSRLH35 · pith_short_8: GQVEKO4Y

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/GQVEKO4YALSRLH35ZR7RXMSRGI \
  | 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: 342a453b9802e5159f7dcc7f1bb251323f7c656a00893d50d216b67587393489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8027f810fce5597b33106d4404c6a1c3ee1232cc3276b44d699478481637fb06",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-08T09:25:51Z",
    "title_canon_sha256": "4a393931498d3a8af2f24ea5e4d857c765defd63a3dce35ccbdf4dc366798c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1456",
    "kind": "arxiv",
    "version": 1
  }
}