Pith Number

pith:ZY2VXZ7N

pith:2015:ZY2VXZ7NKB56WJVBLOUDUL7LBR

not attested not anchored not stored refs pending

Iterations of the projection body operator and a remark on Petty's conjectured projection inequality

Artem Zvavitch, Christos Saroglou

arxiv:1511.03381 v1 · 2015-11-11 · 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{ZY2VXZ7NKB56WJVBLOUDUL7LBR}

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	2026-05-18T01:27:15.589791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce355be7ed507beb26a15ba83a2feb0c5a6038975d9d5003c275e18172f5ec81

Aliases

arxiv: 1511.03381 · arxiv_version: 1511.03381v1 · doi: 10.48550/arxiv.1511.03381 · pith_short_12: ZY2VXZ7NKB56 · pith_short_16: ZY2VXZ7NKB56WJVB · pith_short_8: ZY2VXZ7N

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/ZY2VXZ7NKB56WJVBLOUDUL7LBR \
  | 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: ce355be7ed507beb26a15ba83a2feb0c5a6038975d9d5003c275e18172f5ec81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45241b8de245eff8deae8a6109ddab5794e7e18cc324e8450b56629ec71d16b1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-11-11T04:14:55Z",
    "title_canon_sha256": "c624bbb8540e4bb761d90fd01480e3353ef64edbd9512bbcc9dd65de9fa7ad9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03381",
    "kind": "arxiv",
    "version": 1
  }
}