Pith Number

pith:2U6ZJIRA

pith:2013:2U6ZJIRARVHJVGN3XDWEJHRFUV

not attested not anchored not stored refs pending

On the volume of the convex hull of two convex bodies

\'Akos G.Horv\'ath, Z. L\'angi

arxiv:1302.6164 v3 · 2013-02-25 · 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{2U6ZJIRARVHJVGN3XDWEJHRFUV}

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	2026-05-18T03:20:45.162778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53d94a2208d4e9a99bbb8ec449e25a56b67189009ea20bec29ab931917324a2

Aliases

arxiv: 1302.6164 · arxiv_version: 1302.6164v3 · doi: 10.48550/arxiv.1302.6164 · pith_short_12: 2U6ZJIRARVHJ · pith_short_16: 2U6ZJIRARVHJVGN3 · pith_short_8: 2U6ZJIRA

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/2U6ZJIRARVHJVGN3XDWEJHRFUV \
  | 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: d53d94a2208d4e9a99bbb8ec449e25a56b67189009ea20bec29ab931917324a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9026a62fbb9bca4ffa8d51b56fc363315cd8faa67926ed7b5f1d15179551bfaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-02-25T17:19:08Z",
    "title_canon_sha256": "1df5c15bf0dc2d5a14e70b3258a4ff1622269210526b85afec405b22dd696377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6164",
    "kind": "arxiv",
    "version": 3
  }
}