Pith Number

pith:J2266UAG

pith:2025:J2266UAGP2VMBHHXPYYBLUDGW4

not attested not anchored not stored refs pending

On Brezis' First Open Problem: A Complete Solution

Juncheng Wei, Liming Sun, Wen Yang

arxiv:2503.06904 v1 · 2025-03-10 · 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{J2266UAGP2VMBHHXPYYBLUDGW4}

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.

Cited by

2 papers in Pith

Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere

Planar doubling nodal solutions to the Yamabe equation with maximal rank

Receipt and verification

First computed	2026-07-05T10:27:45.562528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb5ef50067eaac09cf77e3015d066b7053ba0c8db992a2ec3eee1d927d3b25b

Aliases

arxiv: 2503.06904 · arxiv_version: 2503.06904v1 · doi: 10.48550/arxiv.2503.06904 · pith_short_12: J2266UAGP2VM · pith_short_16: J2266UAGP2VMBHHX · pith_short_8: J2266UAG

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/J2266UAGP2VMBHHXPYYBLUDGW4 \
  | 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: 4eb5ef50067eaac09cf77e3015d066b7053ba0c8db992a2ec3eee1d927d3b25b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260b7e7a779538422342db2cbfc8ad8a56d85309810cef23078df5acc10c9057",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-10T04:15:26Z",
    "title_canon_sha256": "c7596f94755a10a4054561d15517590d80601ae2e278ac4916ee47fe0a2fce2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06904",
    "kind": "arxiv",
    "version": 1
  }
}