Pith Number

pith:ABFJKWGB

pith:2011:ABFJKWGBCV3INML7LVHGDVWIWN

not attested not anchored not stored refs pending

Kato's inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds

Batu G\"uneysu

arxiv:1105.0532 v3 · 2011-05-03 · math-ph · math.AP · math.DG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABFJKWGBCV3INML7LVHGDVWIWN}

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	2026-05-18T04:13:06.956501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004a9558c1157686b17f5d4e61d6c8b34c13591d840f43b4916add5b4af80a1c

Aliases

arxiv: 1105.0532 · arxiv_version: 1105.0532v3 · doi: 10.48550/arxiv.1105.0532 · pith_short_12: ABFJKWGBCV3I · pith_short_16: ABFJKWGBCV3INML7 · pith_short_8: ABFJKWGB

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/ABFJKWGBCV3INML7LVHGDVWIWN \
  | 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: 004a9558c1157686b17f5d4e61d6c8b34c13591d840f43b4916add5b4af80a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc4313053d27651419c62fe287e64319af13a1464a979677c434d2ce1bf24ddf",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-03T10:11:56Z",
    "title_canon_sha256": "032f984b59f346a20dae217eb434ca0d457c0540a3083ea5f0b158b3fd06b885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0532",
    "kind": "arxiv",
    "version": 3
  }
}