Pith Number

pith:AHWX3GHI

pith:2019:AHWX3GHIR5MDJQZD74XNTKM5ZZ

not attested not anchored not stored refs pending

Lutwak-Petty projection inequalities for Minkowski valuations and their duals

Astrid Berg, Franz E. Schuster

arxiv:1908.01634 v1 · 2019-08-05 · 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{AHWX3GHIR5MDJQZD74XNTKM5ZZ}

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	2026-07-04T23:51:32.387542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ed7d98e88f5834c323ff2ed9a99dce557c1fa3af9aa5fe4cd0f49383d452c2

Aliases

arxiv: 1908.01634 · arxiv_version: 1908.01634v1 · doi: 10.48550/arxiv.1908.01634 · pith_short_12: AHWX3GHIR5MD · pith_short_16: AHWX3GHIR5MDJQZD · pith_short_8: AHWX3GHI

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/AHWX3GHIR5MDJQZD74XNTKM5ZZ \
  | 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: 01ed7d98e88f5834c323ff2ed9a99dce557c1fa3af9aa5fe4cd0f49383d452c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915b90be71ce7823742dc160fbe681ccd93ff7770ca0c96b3890b59b1bf6ef9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-05T14:09:55Z",
    "title_canon_sha256": "8f269bea98465f82eba74bee9f916b4a8578166b3c7305e436f1f0793a0dfbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01634",
    "kind": "arxiv",
    "version": 1
  }
}