Pith Number

pith:5BGAE2WH

pith:2013:5BGAE2WHWFT5EAG7WDGYDRYFK3

not attested not anchored not stored refs pending

The planar Busemann-Petty centroid inequality and its stability

Mohammad N. Ivaki

arxiv:1312.4834 v9 · 2013-12-17 · math.DG · 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{5BGAE2WHWFT5EAG7WDGYDRYFK3}

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	2026-05-18T02:17:12.424568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84c026ac7b167d200dfb0cd81c70556dca20466bbc055bc8bafcd3ef6a6ffe9

Aliases

arxiv: 1312.4834 · arxiv_version: 1312.4834v9 · doi: 10.48550/arxiv.1312.4834 · pith_short_12: 5BGAE2WHWFT5 · pith_short_16: 5BGAE2WHWFT5EAG7 · pith_short_8: 5BGAE2WH

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/5BGAE2WHWFT5EAG7WDGYDRYFK3 \
  | 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: e84c026ac7b167d200dfb0cd81c70556dca20466bbc055bc8bafcd3ef6a6ffe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da4f559a522eb0278b9d8f73d925f066b48c6e20efed6487e0799c272a1423b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-17T15:55:02Z",
    "title_canon_sha256": "28c3605e7e6899895ec9519ec103d5a16f88dbd4266e2b70ca9afb8e52f19744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4834",
    "kind": "arxiv",
    "version": 9
  }
}