Pith Number

pith:YYHM6JTT

pith:2010:YYHM6JTTLAFJHY3J62B7RO6RBF

not attested not anchored not stored refs pending

Square functions associated to Schrodinger operators

I. Abu-Falahah, J. L. Torrea, P. R. Stinga

arxiv:1009.5569 v2 · 2010-09-28 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYHM6JTTLAFJHY3J62B7RO6RBF}

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	2026-05-18T04:29:55.486479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60ecf2673580a93e369f683f8bbd10958a5ca1583968a15bf68951e86dc6b80

Aliases

arxiv: 1009.5569 · arxiv_version: 1009.5569v2 · doi: 10.48550/arxiv.1009.5569 · pith_short_12: YYHM6JTTLAFJ · pith_short_16: YYHM6JTTLAFJHY3J · pith_short_8: YYHM6JTT

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/YYHM6JTTLAFJHY3J62B7RO6RBF \
  | 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: c60ecf2673580a93e369f683f8bbd10958a5ca1583968a15bf68951e86dc6b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67fa01d2d4303adb9f4a4d514fd436f6ef3597d468800c453cb1238f719fada",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-28T13:50:04Z",
    "title_canon_sha256": "e8648c63be62aa832a31d652ddb582f3c3379c2bcb23d905ff6f2f5cb0022f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5569",
    "kind": "arxiv",
    "version": 2
  }
}