Pith Number

pith:HMFVKGI5

pith:2018:HMFVKGI5F3N6OAPFZ5IJJPEFAJ

not attested not anchored not stored refs pending

On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds

Bernardo Gonz\'alez Merino, Matthias Schymura

arxiv:1804.05009 v4 · 2018-04-13 · math.MG · 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{HMFVKGI5F3N6OAPFZ5IJJPEFAJ}

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	2026-07-05T00:58:30.587991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0b55191d2edbe701e5cf5094bc85024845cf25be2e9132fa4aa4a892c91917

Aliases

arxiv: 1804.05009 · arxiv_version: 1804.05009v4 · doi: 10.48550/arxiv.1804.05009 · pith_short_12: HMFVKGI5F3N6 · pith_short_16: HMFVKGI5F3N6OAPF · pith_short_8: HMFVKGI5

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/HMFVKGI5F3N6OAPFZ5IJJPEFAJ \
  | 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: 3b0b55191d2edbe701e5cf5094bc85024845cf25be2e9132fa4aa4a892c91917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17090f68800aef226af4a9409a4acdef932c376410a13a59c412c82a8ea35d6f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-04-13T16:09:40Z",
    "title_canon_sha256": "b8b2b00a3c951af2e8d6e288657dd304ed953d5212f6d5d311319e89cf889cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05009",
    "kind": "arxiv",
    "version": 4
  }
}