Pith Number

pith:FJCS2DGM

pith:2015:FJCS2DGMRH7GHA763QGPFCYIKA

not attested not anchored not stored refs pending

The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions

Boris Aronov, Michael Gene Dobbins, Otfried Cheong, Xavier Goaoc

arxiv:1502.01779 v1 · 2015-02-06 · 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{FJCS2DGMRH7GHA763QGPFCYIKA}

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	2026-05-17T23:43:54.463002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a452d0ccc89fe6383fedc0cf28b08502797b2c0ad980c9491b7f518fb48ee1e

Aliases

arxiv: 1502.01779 · arxiv_version: 1502.01779v1 · doi: 10.48550/arxiv.1502.01779 · pith_short_12: FJCS2DGMRH7G · pith_short_16: FJCS2DGMRH7GHA76 · pith_short_8: FJCS2DGM

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/FJCS2DGMRH7GHA763QGPFCYIKA \
  | 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: 2a452d0ccc89fe6383fedc0cf28b08502797b2c0ad980c9491b7f518fb48ee1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a0c6da672fef6ff0476fc04a79aa19433eb012037f788f9fc48733b81bc112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-02-06T02:33:11Z",
    "title_canon_sha256": "49e1f627b57f84b85a9c23b0578ac04a367aa7410e10a1600cb36d75ba9de0f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01779",
    "kind": "arxiv",
    "version": 1
  }
}