Pith Number

pith:QGQZ7LQQ

pith:2013:QGQZ7LQQJDSAGX5Z6CTUWWZHAK

not attested not anchored not stored refs pending

Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples

Francois Hamel, Nikolai Nadirashvili, Yannick Sire

arxiv:1304.3355 v2 · 2013-04-11 · 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{QGQZ7LQQJDSAGX5Z6CTUWWZHAK}

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	2026-05-18T03:27:22.482160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a19fae1048e4035fb9f0a74b5b2702abdd7cb4486072205210f47bd3c39a79

Aliases

arxiv: 1304.3355 · arxiv_version: 1304.3355v2 · doi: 10.48550/arxiv.1304.3355 · pith_short_12: QGQZ7LQQJDSA · pith_short_16: QGQZ7LQQJDSAGX5Z · pith_short_8: QGQZ7LQQ

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/QGQZ7LQQJDSAGX5Z6CTUWWZHAK \
  | 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: 81a19fae1048e4035fb9f0a74b5b2702abdd7cb4486072205210f47bd3c39a79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5975232372c83abc5240ec268179ae07297bc9a36b3c02aa759b0633b51dcae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-11T16:11:23Z",
    "title_canon_sha256": "c08f526273fe1104be69c2f164cb43988c8f548b14801a9ceb659af075dcb2b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3355",
    "kind": "arxiv",
    "version": 2
  }
}