Pith Number

pith:UV3Z5NGO

pith:2014:UV3Z5NGOO7L3BZHMJNPVGTYQ7Z

not attested not anchored not stored refs pending

Free boundary hypersurfaces with nonpositive Yamabe invariant in mean convex manifolds

A.Barros, C.Tiarlos Cruz

arxiv:1406.4221 v1 · 2014-06-17 · 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{UV3Z5NGOO7L3BZHMJNPVGTYQ7Z}

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	2026-05-18T02:49:38.087762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5779eb4ce77d7b0e4ec4b5f534f10fe63b8bad2f37f9f93c83f2c19ccd253a0

Aliases

arxiv: 1406.4221 · arxiv_version: 1406.4221v1 · doi: 10.48550/arxiv.1406.4221 · pith_short_12: UV3Z5NGOO7L3 · pith_short_16: UV3Z5NGOO7L3BZHM · pith_short_8: UV3Z5NGO

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/UV3Z5NGOO7L3BZHMJNPVGTYQ7Z \
  | 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: a5779eb4ce77d7b0e4ec4b5f534f10fe63b8bad2f37f9f93c83f2c19ccd253a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3c9dd1dfbb717df4492a8fa4ffda2e9c962ef1bd01bb8a81b3b5482480093c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-17T02:09:53Z",
    "title_canon_sha256": "3288c3a7fd6ab7579f02b79d56a7b4bece470879a8475833343bf454a22d1ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4221",
    "kind": "arxiv",
    "version": 1
  }
}