Pith Number

pith:4D34GK36

pith:2004:4D34GK36JGYBQVJQPRTLAZFQTB

not attested not anchored not stored refs pending

The Busemann-Petty problem for arbitrary measures

Artem Zvavitch

arxiv:math/0406406 v1 · 2004-06-21 · 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{4D34GK36JGYBQVJQPRTLAZFQTB}

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	2026-07-04T14:38:44.069058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f7c32b7e49b01855307c66b064b098463de99d8698e342014b2956d85b7f4a

Aliases

arxiv: math/0406406 · arxiv_version: math/0406406v1 · doi: 10.48550/arxiv.math/0406406 · pith_short_12: 4D34GK36JGYB · pith_short_16: 4D34GK36JGYBQVJQ · pith_short_8: 4D34GK36

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/4D34GK36JGYBQVJQPRTLAZFQTB \
  | 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: e0f7c32b7e49b01855307c66b064b098463de99d8698e342014b2956d85b7f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dff478a0cc29ba6acdca2d64126364c1946d5654e797b1b5ccb270ad8679f8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2004-06-21T15:44:31Z",
    "title_canon_sha256": "209a7a44e2d6c87cd183f001d3d62d89267e888cf7317e5ae5f704e529e37834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406406",
    "kind": "arxiv",
    "version": 1
  }
}