Pith Number

pith:PBMWMVI7

pith:2014:PBMWMVI7RWFUDF7DOXCEYXXSLB

not attested not anchored not stored refs pending

Schauder estimates for solutions of sub-Laplace equations with Dini terms

Pengcheng Niu, Tingxi Hu

arxiv:1402.7120 v1 · 2014-02-28 · 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{PBMWMVI7RWFUDF7DOXCEYXXSLB}

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	2026-05-18T02:57:34.990607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785966551f8d8b4197e375c44c5ef25871442eb22b7871b80876c4012397f011

Aliases

arxiv: 1402.7120 · arxiv_version: 1402.7120v1 · doi: 10.48550/arxiv.1402.7120 · pith_short_12: PBMWMVI7RWFU · pith_short_16: PBMWMVI7RWFUDF7D · pith_short_8: PBMWMVI7

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/PBMWMVI7RWFUDF7DOXCEYXXSLB \
  | 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: 785966551f8d8b4197e375c44c5ef25871442eb22b7871b80876c4012397f011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed82a9aa78be55ae126af4866b62c2dc7a87ddcd602e2e47909e203243c9d297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-28T02:12:59Z",
    "title_canon_sha256": "d411c7aafd5988517bdf6342499cda32afa44952c825953615defdb499831d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.7120",
    "kind": "arxiv",
    "version": 1
  }
}