Pith Number

pith:7MFO26E5

pith:2011:7MFO26E5YPNIOWURTNRDFBUSQG

not attested not anchored not stored refs pending

Entire large solutions for semilinear elliptic equations

Guillaume Warnault, Louis Dupaigne, Marius Ghergu, Olivier Goubet

arxiv:1111.2207 v2 · 2011-11-09 · 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{7MFO26E5YPNIOWURTNRDFBUSQG}

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	2026-05-18T03:53:31.691219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb0aed789dc3da875a919b623286928182346863c324bdde5f6dd9e1ccd72a73

Aliases

arxiv: 1111.2207 · arxiv_version: 1111.2207v2 · doi: 10.48550/arxiv.1111.2207 · pith_short_12: 7MFO26E5YPNI · pith_short_16: 7MFO26E5YPNIOWUR · pith_short_8: 7MFO26E5

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/7MFO26E5YPNIOWURTNRDFBUSQG \
  | 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: fb0aed789dc3da875a919b623286928182346863c324bdde5f6dd9e1ccd72a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8505ca9eb7a2d570c8618883bed1c84c4af5653cdf98bf7858643953ea469179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-09T14:01:04Z",
    "title_canon_sha256": "4055167b4d4a66afdcb981b6fb2556cdf9096e39d2017f20a73382364fedf37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2207",
    "kind": "arxiv",
    "version": 2
  }
}