Pith Number

pith:Y6TQT6RP

pith:2018:Y6TQT6RPEDKCKLBGYY5PC5DQ4N

not attested not anchored not stored refs pending

Existence of Min-Max Free Boundary Disks Releasing the Width of a Manifold

Paul Laurain, Romain Petrides

arxiv:1806.04665 v2 · 2018-06-12 · 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{Y6TQT6RPEDKCKLBGYY5PC5DQ4N}

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	2026-05-17T23:59:52.564890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a709fa2f20d4252c26c63af17470e35607a55e21043635674afc6078bb1c2b

Aliases

arxiv: 1806.04665 · arxiv_version: 1806.04665v2 · doi: 10.48550/arxiv.1806.04665 · pith_short_12: Y6TQT6RPEDKC · pith_short_16: Y6TQT6RPEDKCKLBG · pith_short_8: Y6TQT6RP

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/Y6TQT6RPEDKCKLBGYY5PC5DQ4N \
  | 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: c7a709fa2f20d4252c26c63af17470e35607a55e21043635674afc6078bb1c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fea05f0bf97680bb3fcccded3c867dcf02f2f4ef501fbca7097c23196b39171",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-12T17:56:32Z",
    "title_canon_sha256": "5888019a1e739407efd5fe14fe9830c8036f5d2eddbf22007194af4501e07179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04665",
    "kind": "arxiv",
    "version": 2
  }
}