Pith Number

pith:6ZQVNP7W

pith:2019:6ZQVNP7WSSH3OU6BI7CHLBCEMN

not attested not anchored not stored refs pending

Greedy approximation for biorthogonal systems in quasi-Banach spaces

Fernando Albiac, Jose L. Ansorena, Pablo M. Berna, Przemyslaw Wojtaszczyk

arxiv:1903.11651 v1 · 2019-03-27 · 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{6ZQVNP7WSSH3OU6BI7CHLBCEMN}

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	2026-05-17T23:50:02.114688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f66156bff6948fb753c147c4758444634681fc4a676ab47689153e5b161ed64a

Aliases

arxiv: 1903.11651 · arxiv_version: 1903.11651v1 · doi: 10.48550/arxiv.1903.11651 · pith_short_12: 6ZQVNP7WSSH3 · pith_short_16: 6ZQVNP7WSSH3OU6B · pith_short_8: 6ZQVNP7W

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/6ZQVNP7WSSH3OU6BI7CHLBCEMN \
  | 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: f66156bff6948fb753c147c4758444634681fc4a676ab47689153e5b161ed64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3423b620c145ddeecb1680eb014c2c761b9303e312e4b2ef95b37d8dd2a3c8bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-27T19:01:08Z",
    "title_canon_sha256": "b0a2595899659fdf3faad1cd687afe18cb0f4b88cbe0ae2751f67743ba4121ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11651",
    "kind": "arxiv",
    "version": 1
  }
}