Pith Number

pith:TYXPGNIF

pith:2010:TYXPGNIFMMV5652F3KENPSHYGM

not attested not anchored not stored refs pending

Existence of isoperimetric regions in contact sub-Riemannian manifolds

Manuel Ritor\'e, Matteo Galli

arxiv:1011.0633 v1 · 2010-11-02 · 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{TYXPGNIFMMV5652F3KENPSHYGM}

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	2026-05-18T02:43:59.554308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2ef33505632bdf7745da88d7c8f83336eadf7654ea5f3e087ed110ad1a98eb

Aliases

arxiv: 1011.0633 · arxiv_version: 1011.0633v1 · doi: 10.48550/arxiv.1011.0633 · pith_short_12: TYXPGNIFMMV5 · pith_short_16: TYXPGNIFMMV5652F · pith_short_8: TYXPGNIF

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/TYXPGNIFMMV5652F3KENPSHYGM \
  | 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: 9e2ef33505632bdf7745da88d7c8f83336eadf7654ea5f3e087ed110ad1a98eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f67e7d0e8212816256b2820212058718b3279583c21d0af38b52532ec72fd2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-02T14:51:42Z",
    "title_canon_sha256": "e1e271f0f1deb11d018200b71382e25895c11d0c0d7e08c54d0af2e7064fd31b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0633",
    "kind": "arxiv",
    "version": 1
  }
}