Pith Number

pith:FKQ3Z2BN

pith:2013:FKQ3Z2BNITQP5DZYDDBZMEJNXY

not attested not anchored not stored refs pending

Inverse coefficient problem for Grushin-type parabolic operators

Karine Beauchard, Piermarco Cannarsa

arxiv:1312.2184 v1 · 2013-12-08 · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKQ3Z2BNITQP5DZYDDBZMEJNXY}

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	2026-05-18T03:05:11.033625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa1bce82d44e0fe8f3818c396112dbe0894f3b937dc27147d5b7b07e1426227

Aliases

arxiv: 1312.2184 · arxiv_version: 1312.2184v1 · doi: 10.48550/arxiv.1312.2184 · pith_short_12: FKQ3Z2BNITQP · pith_short_16: FKQ3Z2BNITQP5DZY · pith_short_8: FKQ3Z2BN

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/FKQ3Z2BNITQP5DZYDDBZMEJNXY \
  | 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: 2aa1bce82d44e0fe8f3818c396112dbe0894f3b937dc27147d5b7b07e1426227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e47b59d7382e8d6523a58cc878a4875a3a722f4a663a35e2054b5c0405ad8f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-08T09:21:47Z",
    "title_canon_sha256": "109137be4f292b5508aa8e1fd63ce5e4df6ddb33c8bd7b35985c28398aea4099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2184",
    "kind": "arxiv",
    "version": 1
  }
}