Pith Number

pith:XG4GL5EL

pith:2011:XG4GL5EL6AT2GS7LKDCLTBZSYB

not attested not anchored not stored refs pending

Stability of volume comparison for complex convex bodies

Alexander Koldobsky

arxiv:1102.4084 v1 · 2011-02-20 · 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{XG4GL5EL6AT2GS7LKDCLTBZSYB}

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	2026-05-18T04:28:19.079045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b865f48bf027a34beb50c4b98732c06b9c42448d8d8ccc744bd2cc6988022d

Aliases

arxiv: 1102.4084 · arxiv_version: 1102.4084v1 · doi: 10.48550/arxiv.1102.4084 · pith_short_12: XG4GL5EL6AT2 · pith_short_16: XG4GL5EL6AT2GS7L · pith_short_8: XG4GL5EL

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/XG4GL5EL6AT2GS7LKDCLTBZSYB \
  | 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: b9b865f48bf027a34beb50c4b98732c06b9c42448d8d8ccc744bd2cc6988022d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189e23aed0261d7e73a70535b66c64792a39247474c34dc8363e7dfba6545a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-02-20T16:53:21Z",
    "title_canon_sha256": "08f8187cafb1765eadd34bfe2a2b34f0c37b8d6c9a9324a4fb7fcd8033a570f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4084",
    "kind": "arxiv",
    "version": 1
  }
}