Pith Number

pith:BARCSBTU

pith:2017:BARCSBTUMZEI43Y5U4XDGAGJJY

not attested not anchored not stored refs pending

Complex best $r$-term approximations almost always exist in finite dimensions

Lek-Heng Lim, Mateusz Micha{\l}ek, Yang Qi

arxiv:1711.11269 v2 · 2017-11-30 · math.NA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BARCSBTUMZEI43Y5U4XDGAGJJY}

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	2026-05-18T00:06:25.338967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

082229067466488e6f1da72e3300c94e29bd2093e8171651d551d99e0c98123c

Aliases

arxiv: 1711.11269 · arxiv_version: 1711.11269v2 · doi: 10.48550/arxiv.1711.11269 · pith_short_12: BARCSBTUMZEI · pith_short_16: BARCSBTUMZEI43Y5 · pith_short_8: BARCSBTU

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/BARCSBTUMZEI43Y5U4XDGAGJJY \
  | 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: 082229067466488e6f1da72e3300c94e29bd2093e8171651d551d99e0c98123c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e8ff8d80d7ff7acd8aae19a71d72f614639b9a1e74ea300aaf8d71dce74cf2f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-11-30T08:53:37Z",
    "title_canon_sha256": "d288127650f86c9386ce6da76e9d109c7a4cd3c714ec027478e6a93215c7db62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11269",
    "kind": "arxiv",
    "version": 2
  }
}