Pith Number

pith:QVSI4YIH

pith:2009:QVSI4YIHGHX6GDX7QRQN4VLFHW

not attested not anchored not stored refs pending

Davis' Convexity Theorem and Extremal Ellipsoids

Hans-Peter Schr\"ocker, Matthias J. Weber

arxiv:0907.1158 v2 · 2009-07-07 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVSI4YIHGHX6GDX7QRQN4VLFHW}

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	2026-05-18T03:56:08.814928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85648e610731efe30eff8460de55653d8932d230cb7f6815d41fcd70c15e065c

Aliases

arxiv: 0907.1158 · arxiv_version: 0907.1158v2 · doi: 10.48550/arxiv.0907.1158 · pith_short_12: QVSI4YIHGHX6 · pith_short_16: QVSI4YIHGHX6GDX7 · pith_short_8: QVSI4YIH

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/QVSI4YIHGHX6GDX7QRQN4VLFHW \
  | 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: 85648e610731efe30eff8460de55653d8932d230cb7f6815d41fcd70c15e065c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf5e01bf4dd7db717e3a6e43c361478e57f70181d40ced527a21243c70860a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-07-07T07:48:18Z",
    "title_canon_sha256": "652777f70ccae1b099acd87f4532e8ec2d4524aefdc067c207f9ffc639319e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1158",
    "kind": "arxiv",
    "version": 2
  }
}