Pith Number

pith:2M57N74E

pith:2010:2M57N74EQQBTUKRB3QLSMDHBPW

not attested not anchored not stored refs pending

$L^p$-boundeness properties of variation operators in the Schrodinger setting

E. Harboure, J.C. Fari\~na, J.J. Betancor, L. Rodr\'iguez-Mesa

arxiv:1010.3117 v1 · 2010-10-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M57N74EQQBTUKRB3QLSMDHBPW}

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	2026-05-18T04:39:17.744931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33bf6ff8484033a2a21dc17260ce17da6ca91ee951cae203449092e5479d544

Aliases

arxiv: 1010.3117 · arxiv_version: 1010.3117v1 · doi: 10.48550/arxiv.1010.3117 · pith_short_12: 2M57N74EQQBT · pith_short_16: 2M57N74EQQBTUKRB · pith_short_8: 2M57N74E

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/2M57N74EQQBTUKRB3QLSMDHBPW \
  | 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: d33bf6ff8484033a2a21dc17260ce17da6ca91ee951cae203449092e5479d544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d24d5371d0bd7214c762cb18dc5bb4eb31af12afc2763a01e53d9aa9452160",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-15T10:53:03Z",
    "title_canon_sha256": "6f62603369965c875feb5533ef927981b580f8846006ba4044e4e32ce06f6896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3117",
    "kind": "arxiv",
    "version": 1
  }
}