Pith Number

pith:QQNOEPVE

pith:2015:QQNOEPVESBYM7J7MM52AFDY7B4

not attested not anchored not stored refs pending

Volume of convex hull of two bodies and related problems

\'Akos G.Horv\'ath

arxiv:1509.08859 v2 · 2015-09-29 · 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{QQNOEPVESBYM7J7MM52AFDY7B4}

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	2026-05-18T01:02:49.879533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841ae23ea49070cfa7ec6774028f1f0f336497d6a0fcde356cb059d3fc13d7f3

Aliases

arxiv: 1509.08859 · arxiv_version: 1509.08859v2 · doi: 10.48550/arxiv.1509.08859 · pith_short_12: QQNOEPVESBYM · pith_short_16: QQNOEPVESBYM7J7M · pith_short_8: QQNOEPVE

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/QQNOEPVESBYM7J7MM52AFDY7B4 \
  | 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: 841ae23ea49070cfa7ec6774028f1f0f336497d6a0fcde356cb059d3fc13d7f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c606c438d3f0b8236c047a6d5757c203c43f830cc49a5930631251df632bd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-29T17:17:40Z",
    "title_canon_sha256": "2cf82d941c63d12343485a773d4d2bb106bfe7ced8de37022cb5cc9aed247f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08859",
    "kind": "arxiv",
    "version": 2
  }
}