Pith Number

pith:2FV3CUYG

pith:2011:2FV3CUYGTU6MATSLMW26FYZFAZ

not attested not anchored not stored refs pending

A remark on natural constraints in variational methods and an application to superlinear Schr\"odinger systems

Benedetta Noris, Gianmaria Verzini

arxiv:1112.3159 v1 · 2011-12-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FV3CUYGTU6MATSLMW26FYZFAZ}

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	2026-05-18T04:06:19.973794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16bb153069d3cc04e4b65b5e2e325064a1123f3397b7fa4df668c25f0502993

Aliases

arxiv: 1112.3159 · arxiv_version: 1112.3159v1 · doi: 10.48550/arxiv.1112.3159 · pith_short_12: 2FV3CUYGTU6M · pith_short_16: 2FV3CUYGTU6MATSL · pith_short_8: 2FV3CUYG

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/2FV3CUYGTU6MATSLMW26FYZFAZ \
  | 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: d16bb153069d3cc04e4b65b5e2e325064a1123f3397b7fa4df668c25f0502993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a132b40fbf0816c3822d983d6115712ee80d4bf17650de2ff95b9cfccd85f957",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-14T10:31:57Z",
    "title_canon_sha256": "d3c8fd377a449f1f73f9239efa0415aa96b29e72c6eb9151915da4bfa1e53c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3159",
    "kind": "arxiv",
    "version": 1
  }
}