Pith Number

pith:S7GR3UXI

pith:2014:S7GR3UXIUSC4FKWYY7NE5DNC5U

not attested not anchored not stored refs pending

Sharp $L^p$ estimates for Schr\"odinger groups

Fabio Nicola, Piero D'Ancona

arxiv:1409.6853 v1 · 2014-09-24 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7GR3UXIUSC4FKWYY7NE5DNC5U}

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	2026-05-18T00:20:27.918309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97cd1dd2e8a485c2aad8c7da4e8da2ed0eeb00133f82bd29c1989d2dbfa88ac1

Aliases

arxiv: 1409.6853 · arxiv_version: 1409.6853v1 · doi: 10.48550/arxiv.1409.6853 · pith_short_12: S7GR3UXIUSC4 · pith_short_16: S7GR3UXIUSC4FKWY · pith_short_8: S7GR3UXI

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/S7GR3UXIUSC4FKWYY7NE5DNC5U \
  | 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: 97cd1dd2e8a485c2aad8c7da4e8da2ed0eeb00133f82bd29c1989d2dbfa88ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4b7b33e6f3eba2e9ec2413ef30b29012f7457931b208ec676d517d602f9db0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-24T08:10:59Z",
    "title_canon_sha256": "8bc1062feb1796d06a2ab8bef42c4d5bb317d9071b5d22be1b74dbc3f19e4ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6853",
    "kind": "arxiv",
    "version": 1
  }
}