Pith Number

pith:VWGHEVLE

pith:2012:VWGHEVLE2D6BPOD4CT2PUYCENK

not attested not anchored not stored refs pending

A characterization of some mixed volumes via the Brunn-Minkowski inequality

Andrea Colesanti, Daniel Hug, Eugenia Saorin Gomez

arxiv:1202.2241 v2 · 2012-02-10 · 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{VWGHEVLE2D6BPOD4CT2PUYCENK}

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	2026-05-18T03:46:03.445341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8c725564d0fc17b87c14f4fa60446ab02593a5b6f9f17d8f0442043c288fe2

Aliases

arxiv: 1202.2241 · arxiv_version: 1202.2241v2 · doi: 10.48550/arxiv.1202.2241 · pith_short_12: VWGHEVLE2D6B · pith_short_16: VWGHEVLE2D6BPOD4 · pith_short_8: VWGHEVLE

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/VWGHEVLE2D6BPOD4CT2PUYCENK \
  | 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: ad8c725564d0fc17b87c14f4fa60446ab02593a5b6f9f17d8f0442043c288fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6586d4f8564e86724ba0a3265047d2e607332d0b3dc48d4a4eeadacb938afb1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-02-10T12:03:04Z",
    "title_canon_sha256": "63a85f3872f01ac76cffdf1b1d60c87145a2d6589461c1994a0f75c306ee4f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2241",
    "kind": "arxiv",
    "version": 2
  }
}