Pith Number

pith:VAG7BNTT

pith:2013:VAG7BNTTTIJPEK7YE2WKZGQORH

not attested not anchored not stored refs pending

Conditional quasi-greedy bases in Hilbert and Banach spaces

G. Garrigos, P. Wojtaszczyk

arxiv:1301.4844 v1 · 2013-01-21 · math.FA · 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{VAG7BNTTTIJPEK7YE2WKZGQORH}

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	2026-05-18T03:35:55.423776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80df0b6739a12f22bf826acac9a0e89d1ebff7c1c2221a5a2abfcfeb5573c26

Aliases

arxiv: 1301.4844 · arxiv_version: 1301.4844v1 · doi: 10.48550/arxiv.1301.4844 · pith_short_12: VAG7BNTTTIJP · pith_short_16: VAG7BNTTTIJPEK7Y · pith_short_8: VAG7BNTT

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/VAG7BNTTTIJPEK7YE2WKZGQORH \
  | 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: a80df0b6739a12f22bf826acac9a0e89d1ebff7c1c2221a5a2abfcfeb5573c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d2cb243639dd20b5f34b2909515ca94cba65cc2fc60a2a75adf4ecd109d15aa",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-21T12:40:16Z",
    "title_canon_sha256": "c499ee7fa7f0542ea7d01b1cc2a323ac3b1ae59fbbba64460c624c975182db83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4844",
    "kind": "arxiv",
    "version": 1
  }
}