Pith Number

pith:GEOSVEDJ

pith:2016:GEOSVEDJVIVYTX5LJZSEOIZP7I

not attested not anchored not stored refs pending

Minkowski valuations under volume constraints

Andrea Colesanti, Eugenia Saor\'in G\'omez, Judit Abardia-Ev\'equoz

arxiv:1602.03438 v2 · 2016-02-10 · 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{GEOSVEDJVIVYTX5LJZSEOIZP7I}

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	2026-05-18T00:50:42.897183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311d2a9069aa2b89dfab4e6447232ffa31c75a4e78af037aa26923bbf4c715fa

Aliases

arxiv: 1602.03438 · arxiv_version: 1602.03438v2 · doi: 10.48550/arxiv.1602.03438 · pith_short_12: GEOSVEDJVIVY · pith_short_16: GEOSVEDJVIVYTX5L · pith_short_8: GEOSVEDJ

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/GEOSVEDJVIVYTX5LJZSEOIZP7I \
  | 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: 311d2a9069aa2b89dfab4e6447232ffa31c75a4e78af037aa26923bbf4c715fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40257e90bcf02203635a3e6e8b2e203984aa3e6d16175b05bb2b7f32a6bc142b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-10T16:37:47Z",
    "title_canon_sha256": "63b56dbf7c88a899b80d249e2959d1f9993971ba3971968c9b6e0a88a0bd5fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03438",
    "kind": "arxiv",
    "version": 2
  }
}