Pith Number

pith:ZF2TPPAW

pith:2016:ZF2TPPAW36RJV76KE6YAAYJXFM

not attested not anchored not stored refs pending

Quantitative anisotropic isoperimetric and Brunn-Minkowski inequalities for convex sets with improved defect estimates

Davit Harutyunyan

arxiv:1604.04302 v4 · 2016-04-14 · math.DG · 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{ZF2TPPAW36RJV76KE6YAAYJXFM}

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	2026-05-18T00:22:06.816188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97537bc16dfa29affca27b00061372b02c087ca57c16e80d5a815bc5d4f0a2a

Aliases

arxiv: 1604.04302 · arxiv_version: 1604.04302v4 · doi: 10.48550/arxiv.1604.04302 · pith_short_12: ZF2TPPAW36RJ · pith_short_16: ZF2TPPAW36RJV76K · pith_short_8: ZF2TPPAW

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/ZF2TPPAW36RJV76KE6YAAYJXFM \
  | 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: c97537bc16dfa29affca27b00061372b02c087ca57c16e80d5a815bc5d4f0a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf19849498b16bd4fab20e9683ee2c7cf4738107d059d8c1d07975145c12cd8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-14T20:56:02Z",
    "title_canon_sha256": "9765664be9d8248bee7cd79951482b6551bfe215dae38e74a036e805bd4b4200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04302",
    "kind": "arxiv",
    "version": 4
  }
}