Pith Number

pith:MBLUKSYO

pith:2012:MBLUKSYOZNYSEDIDB46ZNV45E5

not attested not anchored not stored refs pending

On the Yamabe constants of $S^2 \times \re^3$ and $S^3 \times \re^2$

Jimmy Petean, Juan Miguel Ruiz

arxiv:1202.1022 v2 · 2012-02-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBLUKSYOZNYSEDIDB46ZNV45E5}

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	2026-05-18T03:56:35.130419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6057454b0ecb71220d030f3d96d79d275ee033b7fca91576c4ce36f181d7faa1

Aliases

arxiv: 1202.1022 · arxiv_version: 1202.1022v2 · doi: 10.48550/arxiv.1202.1022 · pith_short_12: MBLUKSYOZNYS · pith_short_16: MBLUKSYOZNYSEDID · pith_short_8: MBLUKSYO

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/MBLUKSYOZNYSEDIDB46ZNV45E5 \
  | 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: 6057454b0ecb71220d030f3d96d79d275ee033b7fca91576c4ce36f181d7faa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3544b0e20d8e606fdaba6f62b89fef347526bf284764761e4cca340ebbd5514f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-06T00:38:18Z",
    "title_canon_sha256": "e4a4cb0aa6568d3044d0e50e2a321394b5b9f113acbf37da3cd27f451b9e66f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1022",
    "kind": "arxiv",
    "version": 2
  }
}