Pith Number

pith:BZ7TD7OE

pith:2019:BZ7TD7OENMTXDH6CZKHKT3JRO6

not attested not anchored not stored refs pending

Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces

Jimmy Petean, Juan Carlos Fern\'andez, Oscar Palmas

arxiv:1908.08091 v1 · 2019-08-21 · 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{BZ7TD7OENMTXDH6CZKHKT3JRO6}

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	2026-07-04T23:59:09.587077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7f31fdc46b27719fc2ca8ea9ed3177beb083960fb161a6b05ab3f8eaee6f41

Aliases

arxiv: 1908.08091 · arxiv_version: 1908.08091v1 · doi: 10.48550/arxiv.1908.08091 · pith_short_12: BZ7TD7OENMTX · pith_short_16: BZ7TD7OENMTXDH6C · pith_short_8: BZ7TD7OE

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/BZ7TD7OENMTXDH6CZKHKT3JRO6 \
  | 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: 0e7f31fdc46b27719fc2ca8ea9ed3177beb083960fb161a6b05ab3f8eaee6f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf93f1c11139791fca7de6770bd0c8e4bebf8f5117db04b5ad0f04bcd854a39f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-21T19:24:56Z",
    "title_canon_sha256": "1abe118d6227466dfff90d87174ba08014aada81a338eda651f2b859eba31a0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08091",
    "kind": "arxiv",
    "version": 1
  }
}