Pith Number

pith:2JK5POOH

pith:2014:2JK5POOHHJYN755BCSPKGNSUAN

not attested not anchored not stored refs pending

Dichotomy of stable radial solutions of $-\Delta u=f(u)$ outside a ball

Salvador Villegas

arxiv:1404.1722 v1 · 2014-04-07 · 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{2JK5POOHHJYN755BCSPKGNSUAN}

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	2026-05-18T02:54:40.287320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d255d7b9c73a70dff7a1149ea33654035efd5d5f7237f85e2d0e0417e8bf74de

Aliases

arxiv: 1404.1722 · arxiv_version: 1404.1722v1 · doi: 10.48550/arxiv.1404.1722 · pith_short_12: 2JK5POOHHJYN · pith_short_16: 2JK5POOHHJYN755B · pith_short_8: 2JK5POOH

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/2JK5POOHHJYN755BCSPKGNSUAN \
  | 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: d255d7b9c73a70dff7a1149ea33654035efd5d5f7237f85e2d0e0417e8bf74de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a00981f3ce590126027aa11dfe1e08928c4706bc364bac1530d738c526e303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-07T10:07:00Z",
    "title_canon_sha256": "b7a0a1942ca27fa1dca2346b6a21329ec3da258c31ae8fb77e9ce12ca34ef03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1722",
    "kind": "arxiv",
    "version": 1
  }
}