Pith Number

pith:LV562EBF

pith:2008:LV562EBF74GMFXQVXQJP2WJUUJ

not attested not anchored not stored refs pending

A proof by calibration of an isoperimetric inequality in the Heisenberg group H^n

Manuel Ritor\'e

arxiv:0803.1313 v3 · 2008-03-09 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LV562EBF74GMFXQVXQJP2WJUUJ}

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	2026-05-18T04:23:23.575174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7bed1025ff0cc2de15bc12fd5934a26906097201548595703ce7dad34665aa

Aliases

arxiv: 0803.1313 · arxiv_version: 0803.1313v3 · doi: 10.48550/arxiv.0803.1313 · pith_short_12: LV562EBF74GM · pith_short_16: LV562EBF74GMFXQV · pith_short_8: LV562EBF

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/LV562EBF74GMFXQVXQJP2WJUUJ \
  | 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: 5d7bed1025ff0cc2de15bc12fd5934a26906097201548595703ce7dad34665aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf752851616c411f2b2c2081d9daf655246087d56f579be137233d4eff73de2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-09T18:59:58Z",
    "title_canon_sha256": "edf0414cce8aa96b6fa910298ba966c9994a58d22a1293866534f9e79aeeb918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1313",
    "kind": "arxiv",
    "version": 3
  }
}