Pith Number

pith:BKVY6Y3F

pith:1999:BKVY6Y3F7UC37AYSSDO4RNHEPY

not attested not anchored not stored refs pending

A Kato-Yau inequality for harmonic spinors and decay estimate for eigenspinors

Paul M. N. Feehan

arxiv:math/9903021 v4 · 1999-03-02 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKVY6Y3F7UC37AYSSDO4RNHEPY}

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	2026-05-18T01:17:31.106171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aab8f6365fd05bf831290ddc8b4e47e0efedb92ab9d8fb63c61526967bf95d4

Aliases

arxiv: math/9903021 · arxiv_version: math/9903021v4 · doi: 10.48550/arxiv.math/9903021 · pith_short_12: BKVY6Y3F7UC3 · pith_short_16: BKVY6Y3F7UC37AYS · pith_short_8: BKVY6Y3F

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/BKVY6Y3F7UC37AYSSDO4RNHEPY \
  | 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: 0aab8f6365fd05bf831290ddc8b4e47e0efedb92ab9d8fb63c61526967bf95d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5caacc79278a2b61aaffe72e47541a5d6eb76643288a2ee82d39b37322aaa57d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-03-02T15:16:54Z",
    "title_canon_sha256": "d697f4b6c157ec40b66449564eb9c9f7a1f8ef53cac5a66fdd929f626cd732f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903021",
    "kind": "arxiv",
    "version": 4
  }
}