Pith Number

pith:BDGXHCZF

pith:2018:BDGXHCZFVKRLBVKQCKNUMJ7RE3

not attested not anchored not stored refs pending

Entropy numbers of finite-dimensional embeddings

Jan Vyb\'iral, Marta Kossaczk\'a

arxiv:1802.00572 v1 · 2018-02-02 · 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{BDGXHCZFVKRLBVKQCKNUMJ7RE3}

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	2026-05-18T00:24:32.861053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08cd738b25aaa2b0d550129b4627f126ce4cd399351f2e091e4d6b4275fd549a

Aliases

arxiv: 1802.00572 · arxiv_version: 1802.00572v1 · doi: 10.48550/arxiv.1802.00572 · pith_short_12: BDGXHCZFVKRL · pith_short_16: BDGXHCZFVKRLBVKQ · pith_short_8: BDGXHCZF

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/BDGXHCZFVKRLBVKQCKNUMJ7RE3 \
  | 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: 08cd738b25aaa2b0d550129b4627f126ce4cd399351f2e091e4d6b4275fd549a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19aeb31eb71fff22d775c0339524ab0ec8be98241afc6e043f475171f9e673fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-02T06:11:01Z",
    "title_canon_sha256": "d7e0da679011f6b740ad247325d92093e55fc5b955d828fb4f2446ba30dec70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00572",
    "kind": "arxiv",
    "version": 1
  }
}