Pith Number

pith:A5ZWJH5X

pith:2011:A5ZWJH5XAJTKCFNUGY2V3MNBTQ

not attested not anchored not stored refs pending

Non-uniqueness of convex bodies with prescribed volumes of sections and projections

Artem Zvavitch, Dmitry Ryabogin, Fedor Nazarov

arxiv:1112.3976 v1 · 2011-12-16 · math.CA · math.FA · 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{A5ZWJH5XAJTKCFNUGY2V3MNBTQ}

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	2026-05-18T03:02:44.046483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0773649fb70266a115b436355db1a19c140b5767835fe765f783a84bef286e5f

Aliases

arxiv: 1112.3976 · arxiv_version: 1112.3976v1 · doi: 10.48550/arxiv.1112.3976 · pith_short_12: A5ZWJH5XAJTK · pith_short_16: A5ZWJH5XAJTKCFNU · pith_short_8: A5ZWJH5X

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/A5ZWJH5XAJTKCFNUGY2V3MNBTQ \
  | 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: 0773649fb70266a115b436355db1a19c140b5767835fe765f783a84bef286e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d9b3b62319bd3b6fc4678ec12bdfa19019e1f68b07e7d471d4d088ca606c1e",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-16T21:33:31Z",
    "title_canon_sha256": "a9ba7ef5188a26e3af286d1f3d9da6b4278646ad9daa1fc4f3db5a1f6b5d6a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3976",
    "kind": "arxiv",
    "version": 1
  }
}