Pith Number

pith:MK3XLK2Z

pith:2013:MK3XLK2ZRXAOFT5XJACURYBZLV

not attested not anchored not stored refs pending

Sign-Preserving Property for Some Fourth-Order Elliptic Operators in One Dimension and Radial Symmetry

Christoph Walker (IFAM), Philippe Laurencot (IMT)

arxiv:1303.2237 v1 · 2013-03-09 · 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{MK3XLK2ZRXAOFT5XJACURYBZLV}

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	2026-05-18T03:31:19.602591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b775ab598dc0e2cfb7480548e0395d615ab480711353ddde3edacbf3e1c7da

Aliases

arxiv: 1303.2237 · arxiv_version: 1303.2237v1 · doi: 10.48550/arxiv.1303.2237 · pith_short_12: MK3XLK2ZRXAO · pith_short_16: MK3XLK2ZRXAOFT5X · pith_short_8: MK3XLK2Z

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/MK3XLK2ZRXAOFT5XJACURYBZLV \
  | 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: 62b775ab598dc0e2cfb7480548e0395d615ab480711353ddde3edacbf3e1c7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d161e4fcf495bf2f02cdd90c44979aad8ee302ba8c04c3b0722c4d6329d41bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-09T16:53:30Z",
    "title_canon_sha256": "e3e0645dcaed673ecd31b1c8e0323898c5a564f45ea3ba2c6a26a117f0217a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2237",
    "kind": "arxiv",
    "version": 1
  }
}