Pith Number

pith:HIXGARAA

pith:2016:HIXGARAABR6T2YOX3MTOGURKN5

not attested not anchored not stored refs pending

Inclusion-exclusion principles for convex hulls and the Euler relation

Dmitry Zaporozhets, G\"unter Last, Zakhar Kabluchko

arxiv:1603.01357 v1 · 2016-03-04 · math.PR · 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{HIXGARAABR6T2YOX3MTOGURKN5}

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	2026-05-18T01:19:37.818167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2e6044000c7d3d61d7db26e3522a6f773da65b380dd6878cfa2c1271f09007

Aliases

arxiv: 1603.01357 · arxiv_version: 1603.01357v1 · doi: 10.48550/arxiv.1603.01357 · pith_short_12: HIXGARAABR6T · pith_short_16: HIXGARAABR6T2YOX · pith_short_8: HIXGARAA

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/HIXGARAABR6T2YOX3MTOGURKN5 \
  | 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: 3a2e6044000c7d3d61d7db26e3522a6f773da65b380dd6878cfa2c1271f09007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4064fe89e8917851ecec77ebf4e4160212ca3f57cf37b51ee25a205e9d9b63",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-04T06:15:28Z",
    "title_canon_sha256": "907f828b47db3a3c8ee7ac45dcdbce3de703b750a6e6c09a6606da039a9bfc77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01357",
    "kind": "arxiv",
    "version": 1
  }
}