Pith Number

pith:G74XT3K3

pith:2016:G74XT3K3LNQR4YY33MPCGMWVTM

not attested not anchored not stored refs pending

Infinitely many solutions to the Yamabe problem on noncompact manifolds

Paolo Piccione, Renato G. Bettiol

arxiv:1603.07788 v2 · 2016-03-25 · 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{G74XT3K3LNQR4YY33MPCGMWVTM}

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	2026-05-17T23:53:12.168730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f979ed5b5b611e631bdb1e2332d59b0f3202b566c4e714b7365390bb3aa641

Aliases

arxiv: 1603.07788 · arxiv_version: 1603.07788v2 · doi: 10.48550/arxiv.1603.07788 · pith_short_12: G74XT3K3LNQR · pith_short_16: G74XT3K3LNQR4YY3 · pith_short_8: G74XT3K3

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/G74XT3K3LNQR4YY33MPCGMWVTM \
  | 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: 37f979ed5b5b611e631bdb1e2332d59b0f3202b566c4e714b7365390bb3aa641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be1b2b0cd07ff5f3879ff82cfb9faba8d4dab4c73b0ef889a3be3c706d51c21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-25T00:41:23Z",
    "title_canon_sha256": "e52ee82dc415ed5c14c6feaa50ca34911070a39fa89db04712b6b975e24e0d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07788",
    "kind": "arxiv",
    "version": 2
  }
}