Pith Number

pith:3TLUQB45

pith:2017:3TLUQB452GT4KOB4MIADQ7B7KF

not attested not anchored not stored refs pending

A weighted isoperimetric inequality on the hyperbolic plane

I. McGillivray

arxiv:1712.07690 v1 · 2017-12-19 · 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{3TLUQB452GT4KOB4MIADQ7B7KF}

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.

Cited by

1 paper in Pith

Free energy minimizers with radial densities: classification and quantitative stability

Receipt and verification

First computed	2026-05-18T00:27:31.205949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd748079dd1a7c5383c6200387c3f51798cc16e3ff314b4cf8fe3c9ff28dd2a

Aliases

arxiv: 1712.07690 · arxiv_version: 1712.07690v1 · doi: 10.48550/arxiv.1712.07690 · pith_short_12: 3TLUQB452GT4 · pith_short_16: 3TLUQB452GT4KOB4 · pith_short_8: 3TLUQB45

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/3TLUQB452GT4KOB4MIADQ7B7KF \
  | 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: dcd748079dd1a7c5383c6200387c3f51798cc16e3ff314b4cf8fe3c9ff28dd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b037b4f1de94a53b4290060c1e7a8cde7445faf400a19e4a47ff7724a5a411fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-19T13:47:56Z",
    "title_canon_sha256": "7a1d1ee47d904cfd5362ce8c2dc16eda332902981b602adcfe11bceffc5323f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07690",
    "kind": "arxiv",
    "version": 1
  }
}