Pith Number

pith:NA4CQZTB

pith:2019:NA4CQZTBHLTTUQ4NXGIOMQZMPB

not attested not anchored not stored refs pending

Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds

Ana Hurtado, C\'esar Rosales, Vicente Palmer

arxiv:1907.07920 v1 · 2019-07-18 · 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{NA4CQZTBHLTTUQ4NXGIOMQZMPB}

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	2026-05-17T23:40:15.691187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68382866613ae73a438db990e6432c786c315862c08a3e88c6e623c5732a1029

Aliases

arxiv: 1907.07920 · arxiv_version: 1907.07920v1 · doi: 10.48550/arxiv.1907.07920 · pith_short_12: NA4CQZTBHLTT · pith_short_16: NA4CQZTBHLTTUQ4N · pith_short_8: NA4CQZTB

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/NA4CQZTBHLTTUQ4NXGIOMQZMPB \
  | 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: 68382866613ae73a438db990e6432c786c315862c08a3e88c6e623c5732a1029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be40557994eeef56687a49ccf00c9c95f1177d133bf6ed52f4ab519f4e780009",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-18T08:23:39Z",
    "title_canon_sha256": "51d4b00b13f26365b8315755e46ef4115573378555dfc1bec3e2aed64c903ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07920",
    "kind": "arxiv",
    "version": 1
  }
}