Pith Number

pith:ZO4TQ5G3

pith:2024:ZO4TQ5G3T2V4ZUHSGWAJO6EOJU

not attested not anchored not stored refs pending

Approximability of the Containment Problem for Zonotopes and Ellipsotopes

Adrian Kulmburg, Lukas Sch\"afer, Matthias Althoff

arxiv:2404.11185 v4 · 2024-04-17 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO4TQ5G3T2V4ZUHSGWAJO6EOJU}

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	2026-07-05T11:45:27.798594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb93874db9eabccd0f2358097788e4d1d0d9170d097e608e60497bddabcd3ab

Aliases

arxiv: 2404.11185 · arxiv_version: 2404.11185v4 · doi: 10.48550/arxiv.2404.11185 · pith_short_12: ZO4TQ5G3T2V4 · pith_short_16: ZO4TQ5G3T2V4ZUHS · pith_short_8: ZO4TQ5G3

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/ZO4TQ5G3T2V4ZUHSGWAJO6EOJU \
  | 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: cbb93874db9eabccd0f2358097788e4d1d0d9170d097e608e60497bddabcd3ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d85e5fab2545953d1c411d4aad4e4880bf724068769d640683dbab3c529446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-04-17T09:04:42Z",
    "title_canon_sha256": "53fb4b4398d11b29bf60e0c416c5817ef0302234d9482f2f2af39edbf10ba117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11185",
    "kind": "arxiv",
    "version": 4
  }
}