Pith Number

pith:6GMHTDWO

pith:2011:6GMHTDWOOYDMF4CTNZ4G2CZ7SJ

not attested not anchored not stored refs pending

Stability in the Busemann-Petty and Shephard problems

Alexander Koldobsky

arxiv:1101.3600 v1 · 2011-01-19 · 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{6GMHTDWOOYDMF4CTNZ4G2CZ7SJ}

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	2026-05-18T04:31:21.897719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f198798ece7606c2f0536e786d0b3f92488729ed81394621e0ec69846ae593da

Aliases

arxiv: 1101.3600 · arxiv_version: 1101.3600v1 · doi: 10.48550/arxiv.1101.3600 · pith_short_12: 6GMHTDWOOYDM · pith_short_16: 6GMHTDWOOYDMF4CT · pith_short_8: 6GMHTDWO

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/6GMHTDWOOYDMF4CTNZ4G2CZ7SJ \
  | 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: f198798ece7606c2f0536e786d0b3f92488729ed81394621e0ec69846ae593da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76926d9336d6d4bceca33ede407c56af0fb23f8c44e0f1ace52e4e9e64c19d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-01-19T02:38:31Z",
    "title_canon_sha256": "5546f6dabe0cb81cb6b36da7bdeb0e2fddb54f17bd69d758c1bcac248fb425c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3600",
    "kind": "arxiv",
    "version": 1
  }
}