Pith Number

pith:DVSLVH3Q

pith:2026:DVSLVH3Q5WMYUCWXUE4XSCNKKI

not attested not anchored not stored refs pending

A sharp relative comparison inequality for conformal fillings of Poincar\'e--Einstein manifolds

Nan Wu

arxiv:2607.13742 v1 · 2026-07-15 · 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{DVSLVH3Q5WMYUCWXUE4XSCNKKI}

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	2026-07-16T01:23:03.807495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d64ba9f70ed998a0ad7a1397909aa521aede7299f7acdd670b616ccca41cc6f

Aliases

arxiv: 2607.13742 · arxiv_version: 2607.13742v1 · doi: 10.48550/arxiv.2607.13742 · pith_short_12: DVSLVH3Q5WMY · pith_short_16: DVSLVH3Q5WMYUCWX · pith_short_8: DVSLVH3Q

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/DVSLVH3Q5WMYUCWXUE4XSCNKKI \
  | 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: 1d64ba9f70ed998a0ad7a1397909aa521aede7299f7acdd670b616ccca41cc6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9f2bf78e2f69ef688c41ede5aee281c38653ce86b1798f2de4fa4dbb20cdb1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-15T11:59:46Z",
    "title_canon_sha256": "47173a6633a27734bbd5d99d9e9904c2f5c1e1cbdee7f579cba094bff5201727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13742",
    "kind": "arxiv",
    "version": 1
  }
}