Pith Number

pith:HFOSBTFX

pith:2005:HFOSBTFXS5WT2GBVNVHHXMM2OV

not attested not anchored not stored refs pending

Necessary conditions for vector-valued operator inequalities in harmonic analysis

Andreas Seeger, Michael Christ

arxiv:math/0504030 v1 · 2005-04-01 · 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{HFOSBTFXS5WT2GBVNVHHXMM2OV}

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	2026-07-04T17:23:15.354627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395d20ccb7976d3d18356d4e7bb19a75435cf29bb3aeb17131259ce153a363f5

Aliases

arxiv: math/0504030 · arxiv_version: math/0504030v1 · doi: 10.48550/arxiv.math/0504030 · pith_short_12: HFOSBTFXS5WT · pith_short_16: HFOSBTFXS5WT2GBV · pith_short_8: HFOSBTFX

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/HFOSBTFXS5WT2GBVNVHHXMM2OV \
  | 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: 395d20ccb7976d3d18356d4e7bb19a75435cf29bb3aeb17131259ce153a363f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9749c2134c9ceedfaf13fae415c7f7b80c84bc9d6f4ed72ed516ba541a9bdbb6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-04-01T21:34:06Z",
    "title_canon_sha256": "b82ec32cbf6ba198fde8e67e420bdec7859d5470e137be542e260dd4404b417c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504030",
    "kind": "arxiv",
    "version": 1
  }
}