Pith Number

pith:EVS6PQEK

pith:2024:EVS6PQEKMU56F45TBU3QX6AGAZ

not attested not anchored not stored refs pending

$BMO$ and gradient estimates for solutions of critical elliptic equations

Daniel Spector, Juan Manfredi, You-Wei Benson Chen

arxiv:2407.13884 v2 · 2024-07-18 · math.AP · math.CA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVS6PQEKMU56F45TBU3QX6AGAZ}

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	2026-07-05T08:55:23.244588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2565e7c08a653be2f3b30d370bf806065eac4c0ad8a61a3a890138e0d05c5616

Aliases

arxiv: 2407.13884 · arxiv_version: 2407.13884v2 · doi: 10.48550/arxiv.2407.13884 · pith_short_12: EVS6PQEKMU56 · pith_short_16: EVS6PQEKMU56F45T · pith_short_8: EVS6PQEK

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/EVS6PQEKMU56F45TBU3QX6AGAZ \
  | 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: 2565e7c08a653be2f3b30d370bf806065eac4c0ad8a61a3a890138e0d05c5616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d1c2d1c151b422e86b40242756175aafc645076869c917179e5e3f161534cb",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-18T20:17:15Z",
    "title_canon_sha256": "b9778e9db47574a7c8b7c08623f6e763dda0528de9995f96dffc05660a430343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13884",
    "kind": "arxiv",
    "version": 2
  }
}