Pith Number

pith:MD5FVMJV

pith:2014:MD5FVMJV2ISMQRH32ZLLU3SIIY

not attested not anchored not stored refs pending

Sign-changing tower of bubbles for the Brezis-Nirenberg problem

Alessandro Iacopetti, Giusi Vaira

arxiv:1402.1451 v3 · 2014-02-06 · 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{MD5FVMJV2ISMQRH32ZLLU3SIIY}

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	2026-05-18T02:32:14.213256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60fa5ab135d224c844fbd656ba6e4846284cad921755fcd247a5249f84eb8f3b

Aliases

arxiv: 1402.1451 · arxiv_version: 1402.1451v3 · doi: 10.48550/arxiv.1402.1451 · pith_short_12: MD5FVMJV2ISM · pith_short_16: MD5FVMJV2ISMQRH3 · pith_short_8: MD5FVMJV

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/MD5FVMJV2ISMQRH32ZLLU3SIIY \
  | 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: 60fa5ab135d224c844fbd656ba6e4846284cad921755fcd247a5249f84eb8f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6d14cb3fcfb21dd99719d3634211251a6b1cd834db68ff8f673dc836dc8d0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-06T18:25:21Z",
    "title_canon_sha256": "ea0e2d3669300b351296b98f2f0325630f2db802f76d45d0c467c3ab20034b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1451",
    "kind": "arxiv",
    "version": 3
  }
}