Pith Number

pith:DARCWT5K

pith:2021:DARCWT5KKXVYPIPOCYFQQZHC2N

not attested not anchored not stored refs pending

A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures

Galyna V. Livshyts

arxiv:2107.00095 v3 · 2021-06-30 · math.MG · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DARCWT5KKXVYPIPOCYFQQZHC2N}

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	2026-05-18T02:44:39.953050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18222b4faa55eb87a1ee160b0864e2d35e7d07cb9bdcc8a1432edbcaee4d9308

Aliases

arxiv: 2107.00095 · arxiv_version: 2107.00095v3 · doi: 10.48550/arxiv.2107.00095 · pith_short_12: DARCWT5KKXVY · pith_short_16: DARCWT5KKXVYPIPO · pith_short_8: DARCWT5K

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/DARCWT5KKXVYPIPOCYFQQZHC2N \
  | 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: 18222b4faa55eb87a1ee160b0864e2d35e7d07cb9bdcc8a1432edbcaee4d9308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332eabdc1a068278813b98c13327f559cdd7186a8f1dc77615e76079689bfc1e",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-06-30T20:45:49Z",
    "title_canon_sha256": "4326347454fd58739bae21c8b07e067d9780992689d683a310f47de2e72e7316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00095",
    "kind": "arxiv",
    "version": 3
  }
}