Pith Number

pith:FRAIHAYM

pith:2014:FRAIHAYMYYKTYFSQ5TGD256HCD

not attested not anchored not stored refs pending

The Calder\'on-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds

Batu G\"uneysu, Stefano Pigola

arxiv:1406.0747 v1 · 2014-06-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRAIHAYMYYKTYFSQ5TGD256HCD}

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	2026-05-18T02:50:32.909720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4083830cc6153c1650eccc3d77c710cfa1b6736dcbdbb6347ccc3aab1b0e69

Aliases

arxiv: 1406.0747 · arxiv_version: 1406.0747v1 · doi: 10.48550/arxiv.1406.0747 · pith_short_12: FRAIHAYMYYKT · pith_short_16: FRAIHAYMYYKTYFSQ · pith_short_8: FRAIHAYM

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/FRAIHAYMYYKTYFSQ5TGD256HCD \
  | 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: 2c4083830cc6153c1650eccc3d77c710cfa1b6736dcbdbb6347ccc3aab1b0e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e6f57a396116bf247f0d8791184628e1da5422f3a672d3d9bc3945952bafc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-03T15:26:08Z",
    "title_canon_sha256": "79399d661a45920c8d602d2408f7275f68789b85c9692264690b8246768bbacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0747",
    "kind": "arxiv",
    "version": 1
  }
}