Pith Number

pith:OMGKXYMW

pith:2021:OMGKXYMWIXN7HBJH6DH76AUOXF

not attested not anchored not stored refs pending

Centro-Affine Differential Geometry and the Log-Minkowski Problem

Emanuel Milman

arxiv:2104.12408 v4 · 2021-04-26 · math.FA · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMGKXYMWIXN7HBJH6DH76AUOXF}

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.

Cited by

1 paper in Pith

Uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem

Receipt and verification

First computed	2026-07-05T05:47:00.962033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

730cabe19645dbf38527f0cfff028eb968120ed0c6ba5a612046c386689b96c6

Aliases

arxiv: 2104.12408 · arxiv_version: 2104.12408v4 · doi: 10.48550/arxiv.2104.12408 · pith_short_12: OMGKXYMWIXN7 · pith_short_16: OMGKXYMWIXN7HBJH · pith_short_8: OMGKXYMW

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/OMGKXYMWIXN7HBJH6DH76AUOXF \
  | 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: 730cabe19645dbf38527f0cfff028eb968120ed0c6ba5a612046c386689b96c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc1be381f41a64aad958e668dfff2820e8f5b86bca554360ce5c91d0ffe040f",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-04-26T09:06:40Z",
    "title_canon_sha256": "15096b92294f0d5b1bdd498c8b7706286f7b5e8effd60537e3ae0c897d8f1895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12408",
    "kind": "arxiv",
    "version": 4
  }
}