Pith Number

pith:2SXGCFQD

pith:2018:2SXGCFQD6EAWPAHYCVXP5GCI72

not attested not anchored not stored refs pending

The log-Brunn-Minkowski inequality in $\mathbb{R}^3$

Deyan Zhang, Yunlong Yang

arxiv:1810.05775 v1 · 2018-10-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SXGCFQD6EAWPAHYCVXP5GCI72}

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	2026-05-18T00:03:26.988429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ae611603f1016780f8156efe9848feb904caa55436a6e07ef29cd8da0867e6

Aliases

arxiv: 1810.05775 · arxiv_version: 1810.05775v1 · doi: 10.48550/arxiv.1810.05775 · pith_short_12: 2SXGCFQD6EAW · pith_short_16: 2SXGCFQD6EAWPAHY · pith_short_8: 2SXGCFQD

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/2SXGCFQD6EAWPAHYCVXP5GCI72 \
  | 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: d4ae611603f1016780f8156efe9848feb904caa55436a6e07ef29cd8da0867e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8d2ae5dc53d4e59f4d0ee0cdceed027fcb303ebfb87578f60b004785875105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-13T00:49:45Z",
    "title_canon_sha256": "7695d58c984b3a680026d718fd45d7e4547ffc4bcbffcf551493d81ce1c1a5de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05775",
    "kind": "arxiv",
    "version": 1
  }
}