Pith Number

pith:ZNXBNKS3

pith:2018:ZNXBNKS34MVULY6F4TSRT24U5Q

not attested not anchored not stored refs pending

The Brunn-Minkowski inequality and a Minkowski problem for $\mathcal{A}$-harmonic Green's function

Andrew Vogel, John Lewis, Murat Akman, Olli Saari

arxiv:1810.03752 v1 · 2018-10-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNXBNKS34MVULY6F4TSRT24U5Q}

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	2026-05-18T00:03:44.584180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6e16aa5be32b45e3c5e4e519eb94ec3a9201f226b2772d132ccaad7822f7cf

Aliases

arxiv: 1810.03752 · arxiv_version: 1810.03752v1 · doi: 10.48550/arxiv.1810.03752 · pith_short_12: ZNXBNKS34MVU · pith_short_16: ZNXBNKS34MVULY6F · pith_short_8: ZNXBNKS3

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/ZNXBNKS34MVULY6F4TSRT24U5Q \
  | 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: cb6e16aa5be32b45e3c5e4e519eb94ec3a9201f226b2772d132ccaad7822f7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530a754d84174ffa3429c1e376074c141fbe5a01faddbe6513413840d6d27f0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-08T23:58:42Z",
    "title_canon_sha256": "7afdbe2463536cf47e6ae4ea6c065ddd320577b1463b220e34e1df1b52829510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03752",
    "kind": "arxiv",
    "version": 1
  }
}