Pith Number

pith:DMWDSCQQ

pith:2015:DMWDSCQQ7ZCA6C5M2ZFQ5FKRNT

not attested not anchored not stored refs pending

Volume product of planar polar convex bodies --- lower estimates with stability

E. Makai Jr., K. J. B\"or\"oczky, M. Meyer, S. Reisner

arxiv:1507.01481 v1 · 2015-07-06 · 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{DMWDSCQQ7ZCA6C5M2ZFQ5FKRNT}

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	2026-05-18T01:37:16.818880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b2c390a10fe440f0bacd64b0e95516ce3eb8af43a40eeee5c2507af33ef8613

Aliases

arxiv: 1507.01481 · arxiv_version: 1507.01481v1 · doi: 10.48550/arxiv.1507.01481 · pith_short_12: DMWDSCQQ7ZCA · pith_short_16: DMWDSCQQ7ZCA6C5M · pith_short_8: DMWDSCQQ

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/DMWDSCQQ7ZCA6C5M2ZFQ5FKRNT \
  | 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: 1b2c390a10fe440f0bacd64b0e95516ce3eb8af43a40eeee5c2507af33ef8613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489a3867f71c1124be5bf47d36441d231533c1edd60aca26562a08e9ea11793f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-06T14:43:57Z",
    "title_canon_sha256": "d08b7b16c9246400a03564e02aaba939b3389c48f264f0c961e04a2e2b5117cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01481",
    "kind": "arxiv",
    "version": 1
  }
}