Pith Number

pith:XOQSP6VH

pith:2012:XOQSP6VHXKISX4TQ3PGDS4OP5P

not attested not anchored not stored refs pending

A hyperplane inequality for the surface area of projection bodies

Alexander Koldobsky

arxiv:1204.2530 v2 · 2012-04-11 · 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{XOQSP6VHXKISX4TQ3PGDS4OP5P}

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	2026-05-18T03:56:59.789358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba127faa7ba912bf270dbcc3971cfebde62c2f7eb6c1b1e9ee67cbf8e42fd64

Aliases

arxiv: 1204.2530 · arxiv_version: 1204.2530v2 · doi: 10.48550/arxiv.1204.2530 · pith_short_12: XOQSP6VHXKIS · pith_short_16: XOQSP6VHXKISX4TQ · pith_short_8: XOQSP6VH

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/XOQSP6VHXKISX4TQ3PGDS4OP5P \
  | 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: bba127faa7ba912bf270dbcc3971cfebde62c2f7eb6c1b1e9ee67cbf8e42fd64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f809268531fd8aa4ab9cde7c57c2e31f76aa862a07b731c8e2081112a7ee0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-04-11T19:32:54Z",
    "title_canon_sha256": "3e3b66cabf7e47fc38e85053eb70a7b0a33c90cb094349374f2069711e8addc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2530",
    "kind": "arxiv",
    "version": 2
  }
}