Pith Number

pith:GTP5OKP4

pith:2016:GTP5OKP4DXIRBYDGUHHAHJHGFQ

not attested not anchored not stored refs pending

Existence theorems of the fractional Yamabe problem

Juncheng Wei, Monica Musso, Seunghyeok Kim

arxiv:1603.06617 v1 · 2016-03-21 · math.AP · 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{GTP5OKP4DXIRBYDGUHHAHJHGFQ}

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	2026-05-18T00:20:59.659215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34dfd729fc1dd110e066a1ce03a4e62c2618f86b130c57e7d78c8b3f9de8d761

Aliases

arxiv: 1603.06617 · arxiv_version: 1603.06617v1 · doi: 10.48550/arxiv.1603.06617 · pith_short_12: GTP5OKP4DXIR · pith_short_16: GTP5OKP4DXIRBYDG · pith_short_8: GTP5OKP4

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/GTP5OKP4DXIRBYDGUHHAHJHGFQ \
  | 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: 34dfd729fc1dd110e066a1ce03a4e62c2618f86b130c57e7d78c8b3f9de8d761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b20a127da7ff0e3464c6a8b44585022f3234088fb9078a4726dd70391502b2d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-21T21:16:36Z",
    "title_canon_sha256": "c0e78ca5754119a2dc7bc95b48bfa28ae00ed57cc10b0df56f8b0f2a0ea01510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06617",
    "kind": "arxiv",
    "version": 1
  }
}