Pith Number

pith:DIMG6ZFM

pith:2016:DIMG6ZFMOPM3LLDXO4IVVYA6I2

not attested not anchored not stored refs pending

On Kato-Ponce and fractional Leibniz

Dong Li

arxiv:1609.01780 v2 · 2016-09-06 · 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{DIMG6ZFMOPM3LLDXO4IVVYA6I2}

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.

Cited by

1 paper in Pith

Refined blow-up criteria and global solutions for triangular cross-diffusion systems

Receipt and verification

First computed	2026-05-17T23:53:12.129998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a186f64ac73d9b5ac7777115ae01e46ba19265b54f0222bcb8e53c52dd1b1ac

Aliases

arxiv: 1609.01780 · arxiv_version: 1609.01780v2 · doi: 10.48550/arxiv.1609.01780 · pith_short_12: DIMG6ZFMOPM3 · pith_short_16: DIMG6ZFMOPM3LLDX · pith_short_8: DIMG6ZFM

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/DIMG6ZFMOPM3LLDXO4IVVYA6I2 \
  | 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: 1a186f64ac73d9b5ac7777115ae01e46ba19265b54f0222bcb8e53c52dd1b1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d71d74a6b7d6c5830478a786780d465c523f56b83ac0d40ecaf1bb16f03b896",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-06T22:38:49Z",
    "title_canon_sha256": "0c1ea7cc7edfcc93e94b1d0bdd189ecf5f2fcb44515d68c20876fb8b5611106a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01780",
    "kind": "arxiv",
    "version": 2
  }
}