Pith Number

pith:VPHUQG7N

pith:2014:VPHUQG7NA2CMICQA3Z6GXE5LPP

not attested not anchored not stored refs pending

Algorithms for ball hulls and ball intersections in strictly convex normed planes

Horst Martini, Pedro Mart\'in

arxiv:1411.7159 v1 · 2014-11-26 · math.MG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPHUQG7NA2CMICQA3Z6GXE5LPP}

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	2026-05-18T02:32:44.624405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcf481bed0684c40a00de7c6b93ab7bda63c6369caa34e7edfbc9ee3c31c930

Aliases

arxiv: 1411.7159 · arxiv_version: 1411.7159v1 · doi: 10.48550/arxiv.1411.7159 · pith_short_12: VPHUQG7NA2CM · pith_short_16: VPHUQG7NA2CMICQA · pith_short_8: VPHUQG7N

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/VPHUQG7NA2CMICQA3Z6GXE5LPP \
  | 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: abcf481bed0684c40a00de7c6b93ab7bda63c6369caa34e7edfbc9ee3c31c930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8767c47f783848644f1fad20b4c16c0570613aee4128e7d4cc53d59ed42ae30",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-26T10:02:02Z",
    "title_canon_sha256": "f398931ebda6b8bdfa03ac5502da81839a052dcb0bcf0884e7b0ba116f920f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7159",
    "kind": "arxiv",
    "version": 1
  }
}