Pith Number

pith:4WNSM4OL

pith:2011:4WNSM4OLZOHHMSJM6FQUZEQ42F

not attested not anchored not stored refs pending

Weighted isoperimetric inequalities in cones and applications

Anna Mercaldo, Francesco Chiacchio, Friedemann Brock

arxiv:1107.5406 v4 · 2011-07-27 · 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{4WNSM4OLZOHHMSJM6FQUZEQ42F}

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	2026-05-18T03:55:24.869851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59b2671cbcb8e76492cf1614c921cd169c969554d29d316a57b3e55de27212e

Aliases

arxiv: 1107.5406 · arxiv_version: 1107.5406v4 · doi: 10.48550/arxiv.1107.5406 · pith_short_12: 4WNSM4OLZOHH · pith_short_16: 4WNSM4OLZOHHMSJM · pith_short_8: 4WNSM4OL

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/4WNSM4OLZOHHMSJM6FQUZEQ42F \
  | 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: e59b2671cbcb8e76492cf1614c921cd169c969554d29d316a57b3e55de27212e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c41d3b40df5c84fe0ee16fa94b541654e2fd6308a3d5a8fa70d3ba156ac720f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-27T08:09:21Z",
    "title_canon_sha256": "41a302109e051ff5df9b89254ff7d4ea8ac0f62e899722c0555e9ce860aeab04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5406",
    "kind": "arxiv",
    "version": 4
  }
}