Pith Number

pith:LKEB2MUZ

pith:2026:LKEB2MUZQF7SDOGZQDNDQGTG24

not attested not anchored not stored refs pending

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions

Atish Mitra, Kazuhiro Kawamura, Sushovan Majhi

arxiv:2608.06180 v1 · 2026-08-06 · math.AT · 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{LKEB2MUZQF7SDOGZQDNDQGTG24}

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	2026-08-07T01:40:53.290625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a881d3299817f21b8d980da381a66d72f31b397749ed0ae47c9e06338ebb183

Aliases

arxiv: 2608.06180 · arxiv_version: 2608.06180v1 · doi: 10.48550/arxiv.2608.06180 · pith_short_12: LKEB2MUZQF7S · pith_short_16: LKEB2MUZQF7SDOGZ · pith_short_8: LKEB2MUZ

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/LKEB2MUZQF7SDOGZQDNDQGTG24 \
  | 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: 5a881d3299817f21b8d980da381a66d72f31b397749ed0ae47c9e06338ebb183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac34a5cd30f1395f8638dffd236f2ca08e5747d63c712150b53401567c45b47c",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-08-06T15:41:07Z",
    "title_canon_sha256": "e2e04f89fe84ebea971e39c0a342f07504fa61ac471f1914cb9101eb9ecb4bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06180",
    "kind": "arxiv",
    "version": 1
  }
}