Pith Number

pith:MHZO3SR5

pith:2013:MHZO3SR5SQBI3GTXWJQQDRS2ZW

not attested not anchored not stored refs pending

Characterization of ellipsoids as K-dense sets

Michele Marini, Rolando Magnanini

arxiv:1308.0817 v1 · 2013-08-04 · math.MG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHZO3SR5SQBI3GTXWJQQDRS2ZW}

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	2026-05-18T03:16:39.856984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f2edca3d94028d9a77b26101c65acd9776605aadc27ff6bb1ca82576a363d7

Aliases

arxiv: 1308.0817 · arxiv_version: 1308.0817v1 · doi: 10.48550/arxiv.1308.0817 · pith_short_12: MHZO3SR5SQBI · pith_short_16: MHZO3SR5SQBI3GTX · pith_short_8: MHZO3SR5

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/MHZO3SR5SQBI3GTXWJQQDRS2ZW \
  | 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: 61f2edca3d94028d9a77b26101c65acd9776605aadc27ff6bb1ca82576a363d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a5d01ece15a8b9cb90dbd010277f8566317bf4c4ac2a745aff32d1b6544181",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-04T15:12:56Z",
    "title_canon_sha256": "4ca2934b3d092ede1564e2a2310caaa90669c19fafd65e41cf10a8b35f9d7149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0817",
    "kind": "arxiv",
    "version": 1
  }
}