Pith Number

pith:6OUAEJXB

pith:2014:6OUAEJXB3OG4KAHTVKJJUZ2FEW

not attested not anchored not stored refs pending

Some Applications of Generalized Mountain Pass Lemma

Bingyu Li, Fengying Li, Shiqing Zhang

arxiv:1402.5725 v1 · 2014-02-24 · math.FA · 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{6OUAEJXB3OG4KAHTVKJJUZ2FEW}

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	2026-05-18T02:58:13.901366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a80226e1db8dc500f3aa929a6745258782cc2b427251a7616fe09316f3819f

Aliases

arxiv: 1402.5725 · arxiv_version: 1402.5725v1 · doi: 10.48550/arxiv.1402.5725 · pith_short_12: 6OUAEJXB3OG4 · pith_short_16: 6OUAEJXB3OG4KAHT · pith_short_8: 6OUAEJXB

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/6OUAEJXB3OG4KAHTVKJJUZ2FEW \
  | 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: f3a80226e1db8dc500f3aa929a6745258782cc2b427251a7616fe09316f3819f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f37fdd2a9aaa9b9118858ff3985478286beb513a3e6b1dd5df60a9509f1b1b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-24T05:32:08Z",
    "title_canon_sha256": "fdbcb1ba829554160bd2260e12e47f465bbf4f3621ab828d7251294b6d61f5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5725",
    "kind": "arxiv",
    "version": 1
  }
}