Pith Number

pith:AE4IPGR7

pith:2012:AE4IPGR7GKJAZZXVSM7JIA64VE

not attested not anchored not stored refs pending

Lebesgue type inequalities for quasi-greedy bases

Eugenio Hern\'andez, Gustavo Garrig\'os, Timur Oikhberg

arxiv:1207.0946 v1 · 2012-07-04 · 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{AE4IPGR7GKJAZZXVSM7JIA64VE}

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	2026-05-18T03:51:47.900532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0138879a3f32920ce6f5933e9403dca932ec57dd189e01ad38a1c6bb02e70be9

Aliases

arxiv: 1207.0946 · arxiv_version: 1207.0946v1 · doi: 10.48550/arxiv.1207.0946 · pith_short_12: AE4IPGR7GKJA · pith_short_16: AE4IPGR7GKJAZZXV · pith_short_8: AE4IPGR7

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/AE4IPGR7GKJAZZXVSM7JIA64VE \
  | 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: 0138879a3f32920ce6f5933e9403dca932ec57dd189e01ad38a1c6bb02e70be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647ac6b51cefc0da4a3d5922c4ca9fcd81bf40f854234556bf459506c8cfcc3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-04T11:44:57Z",
    "title_canon_sha256": "e866646eff3aa3327b34c4583701911772cece9a6c450aefe0e393c384be0f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0946",
    "kind": "arxiv",
    "version": 1
  }
}