Pith Number

pith:K72M2WN7

pith:2021:K72M2WN72YGO2FD26QHZS6GGUZ

not attested not anchored not stored refs pending

On $p$-Brunn-Minkowski inequalities for intrinsic volumes with $0\leq p<1$

A. Colesanti, A. Roncoroni, C. Bianchini, D. Pagnini

arxiv:2107.01287 v1 · 2021-07-02 · 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{K72M2WN72YGO2FD26QHZS6GGUZ}

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	2026-07-05T02:54:41.558884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f4cd59bfd60ced147af40f9978c6a671d1304ca655bc261f81431ae8a791e4

Aliases

arxiv: 2107.01287 · arxiv_version: 2107.01287v1 · doi: 10.48550/arxiv.2107.01287 · pith_short_12: K72M2WN72YGO · pith_short_16: K72M2WN72YGO2FD2 · pith_short_8: K72M2WN7

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/K72M2WN72YGO2FD26QHZS6GGUZ \
  | 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: 57f4cd59bfd60ced147af40f9978c6a671d1304ca655bc261f81431ae8a791e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc07bbfb29f7dbb4e67cabd45d36d660d8291827326e6b540c6eb75f03f8223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-07-02T21:49:33Z",
    "title_canon_sha256": "dc956881df4ee6eff26c0d2b3a85fc2421ef9861a8458ea61890b50ad71b75ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01287",
    "kind": "arxiv",
    "version": 1
  }
}