Pith Number

pith:VDPUKEQS

pith:2018:VDPUKEQSBCFUFVY5JWRWJBX5MQ

not attested not anchored not stored refs pending

A note on solutions of Yamabe-type equations on products of spheres

H\'ector Barrantes G, Jimmy Petean

arxiv:1809.05609 v1 · 2018-09-14 · 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{VDPUKEQSBCFUFVY5JWRWJBX5MQ}

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	2026-05-18T00:05:40.529829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8df451212088b42d71d4da36486fd6414e099b9b0b4175196e2e07858434b9f

Aliases

arxiv: 1809.05609 · arxiv_version: 1809.05609v1 · doi: 10.48550/arxiv.1809.05609 · pith_short_12: VDPUKEQSBCFU · pith_short_16: VDPUKEQSBCFUFVY5 · pith_short_8: VDPUKEQS

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/VDPUKEQSBCFUFVY5JWRWJBX5MQ \
  | 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: a8df451212088b42d71d4da36486fd6414e099b9b0b4175196e2e07858434b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c122c67143394cc20adaf02107235574370935adae63a566c0a2309188f2a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-14T22:54:20Z",
    "title_canon_sha256": "62b22287e171e84078408f6fab3d409a758ee143768b5a2a209f3ed96c710b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05609",
    "kind": "arxiv",
    "version": 1
  }
}