Pith Number

pith:GSB3YLIY

pith:2018:GSB3YLIY6PR32H2S7U3P6ZENTC

not attested not anchored not stored refs pending

A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations

Aleks Jevnikar, Amir Moradifam, Changfeng Gui, Daniele Bartolucci

arxiv:1802.09475 v1 · 2018-02-26 · 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{GSB3YLIY6PR32H2S7U3P6ZENTC}

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	2026-05-18T00:03:41.509045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3483bc2d18f3e3bd1f52fd36ff648d98b7a835b2c874c22550e9d024c5b602cb

Aliases

arxiv: 1802.09475 · arxiv_version: 1802.09475v1 · doi: 10.48550/arxiv.1802.09475 · pith_short_12: GSB3YLIY6PR3 · pith_short_16: GSB3YLIY6PR32H2S · pith_short_8: GSB3YLIY

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/GSB3YLIY6PR32H2S7U3P6ZENTC \
  | 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: 3483bc2d18f3e3bd1f52fd36ff648d98b7a835b2c874c22550e9d024c5b602cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c72328369d6b760b257eac52c77e0faab9a1d861342e324626be804706e8a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-26T17:46:02Z",
    "title_canon_sha256": "1cfcaf95bcc5629e259e1130608fb44b7e0dd6e21c83be390d0cbc472af829a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09475",
    "kind": "arxiv",
    "version": 1
  }
}