Pith Number

pith:PFEKZVGD

pith:2018:PFEKZVGDY4CJJ3ZV72RZBH5OOY

not attested not anchored not stored refs pending

Interior $C^{1,\alpha}$ regularity on the linearized Monge-Amp$\grave{e}$re equation with $\mathrm{VMO}$ type coefficients

Lin Tang, Qian Zhang

arxiv:1810.04507 v1 · 2018-10-10 · 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{PFEKZVGDY4CJJ3ZV72RZBH5OOY}

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	2026-05-18T00:03:39.961081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7948acd4c3c70494ef35fea3909fae7637f76929c919e2cdb07be6fdc56202c4

Aliases

arxiv: 1810.04507 · arxiv_version: 1810.04507v1 · doi: 10.48550/arxiv.1810.04507 · pith_short_12: PFEKZVGDY4CJ · pith_short_16: PFEKZVGDY4CJJ3ZV · pith_short_8: PFEKZVGD

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/PFEKZVGDY4CJJ3ZV72RZBH5OOY \
  | 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: 7948acd4c3c70494ef35fea3909fae7637f76929c919e2cdb07be6fdc56202c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b556268770598bb0d61513dae55f52f4469f08a1989d432777d55a9937a57ab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-10T13:19:55Z",
    "title_canon_sha256": "fc155961575c4c974f5ea53786b2f5bb283ffbdae4b3877a32ab62a5b0e03a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04507",
    "kind": "arxiv",
    "version": 1
  }
}