Pith Number

pith:7TVEJ2XE

pith:2015:7TVEJ2XEIMUXKZDFY3YYINEGV6

not attested not anchored not stored refs pending

Isomorphic Busemann-Petty problem for sections of proportional dimensions

Alexander Koldobsky

arxiv:1507.02001 v1 · 2015-07-08 · 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{7TVEJ2XEIMUXKZDFY3YYINEGV6}

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	2026-05-18T01:37:10.521826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcea44eae44329756465c6f1843486afa3a1f729e825468181db3f4715b289cc

Aliases

arxiv: 1507.02001 · arxiv_version: 1507.02001v1 · doi: 10.48550/arxiv.1507.02001 · pith_short_12: 7TVEJ2XEIMUX · pith_short_16: 7TVEJ2XEIMUXKZDF · pith_short_8: 7TVEJ2XE

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/7TVEJ2XEIMUXKZDFY3YYINEGV6 \
  | 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: fcea44eae44329756465c6f1843486afa3a1f729e825468181db3f4715b289cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd2b98b62955da44f7773fe1ad293e119d6294e7269405f2e71de8ce8c138fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-08T01:03:40Z",
    "title_canon_sha256": "dad9095a385c20ffea267dee872d638e49ddcf72dd66b6a216ae7e960a62fb20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02001",
    "kind": "arxiv",
    "version": 1
  }
}