Pith Number

pith:KV2UHTQW

pith:2018:KV2UHTQWXV34DPISWYI3VV65ZK

not attested not anchored not stored refs pending

A fountain of positive Bubbles on a Coron's Problem for a Competitive Weakly Coupled Gradient System

Angela Pistoia, Hugo Tavares, Nicola Soave

arxiv:1812.04280 v1 · 2018-12-11 · 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{KV2UHTQWXV34DPISWYI3VV65ZK}

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	2026-05-17T23:58:32.755811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

557543ce16bd77c1bd12b611bad7ddcaab8b95f952e1b2b3ee073c4e2714cac9

Aliases

arxiv: 1812.04280 · arxiv_version: 1812.04280v1 · doi: 10.48550/arxiv.1812.04280 · pith_short_12: KV2UHTQWXV34 · pith_short_16: KV2UHTQWXV34DPIS · pith_short_8: KV2UHTQW

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/KV2UHTQWXV34DPISWYI3VV65ZK \
  | 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: 557543ce16bd77c1bd12b611bad7ddcaab8b95f952e1b2b3ee073c4e2714cac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7506256478b5fc3bf3897f81b83dba6834f76864bca734e5ee55b18739b042f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-11T09:14:57Z",
    "title_canon_sha256": "914a01b738009de86ea4b604dbf7a4a0da5b3724a09f0765739c4415176be928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04280",
    "kind": "arxiv",
    "version": 1
  }
}