Pith Number

pith:QHBRESOG

pith:2026:QHBRESOGMTZZZHTZDGV3J7DLN5

not attested not anchored not stored refs pending

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition

Reo Suzuki, Yohei Sato

arxiv:2607.05885 v1 · 2026-07-07 · 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{QHBRESOGMTZZZHTZDGV3J7DLN5}

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	2026-07-08T01:18:49.317436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c31249c664f39c9e7919abb4fc6b6f6354ede0659f5a20227974be1dc7bcc0

Aliases

arxiv: 2607.05885 · arxiv_version: 2607.05885v1 · doi: 10.48550/arxiv.2607.05885 · pith_short_12: QHBRESOGMTZZ · pith_short_16: QHBRESOGMTZZZHTZ · pith_short_8: QHBRESOG

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/QHBRESOGMTZZZHTZDGV3J7DLN5 \
  | 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: 81c31249c664f39c9e7919abb4fc6b6f6354ede0659f5a20227974be1dc7bcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18a5c01b33147ce6ef35ff7624cb936dc3696f15f24172978f1249aad6993bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-07T06:28:15Z",
    "title_canon_sha256": "719dc4d6f9e7627e3654f550300360ae7a1bdbb90f93479b4602729c7f24f5e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05885",
    "kind": "arxiv",
    "version": 1
  }
}