Pith Number

pith:HT5HWJ5W

pith:2025:HT5HWJ5W6MRCG7ETMQLVMBAR2R

not attested not anchored not stored refs pending

Refined regularity at critical points for linear elliptic equations

Hongjie Dong, Jongkeun Choi, Seick Kim

arxiv:2506.08281 v1 · 2025-06-09 · 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{HT5HWJ5W6MRCG7ETMQLVMBAR2R}

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	2026-07-03T01:17:11.767191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfa7b27b6f322237c936417560411d457dd9f1a33728ea3680dd7fa276b9733

Aliases

arxiv: 2506.08281 · arxiv_version: 2506.08281v1 · doi: 10.48550/arxiv.2506.08281 · pith_short_12: HT5HWJ5W6MRC · pith_short_16: HT5HWJ5W6MRCG7ET · pith_short_8: HT5HWJ5W

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/HT5HWJ5W6MRCG7ETMQLVMBAR2R \
  | 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: 3cfa7b27b6f322237c936417560411d457dd9f1a33728ea3680dd7fa276b9733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf5017415c13d57d81434b4300cefce908322182b5414d7c033154d9c48a21f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T23:02:52Z",
    "title_canon_sha256": "3cca38783102cd025d0b37415d40c84d2c3fde2c489f9c43c8a0cecc0fe41fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08281",
    "kind": "arxiv",
    "version": 1
  }
}