Pith Number

pith:NAIQMM24

pith:2018:NAIQMM24U4GEYPTRS3WJH7J5WM

not attested not anchored not stored refs pending

Gradient estimates for a nonlinear parabolic equation and Liouville theorems

Jia-Yong Wu

arxiv:1803.10619 v3 · 2018-03-28 · math.DG · 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{NAIQMM24U4GEYPTRS3WJH7J5WM}

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	2026-05-17T23:59:22.847702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681106335ca70c4c3e7196ec93fd3db329787954b509e5a9e901d21a1926640b

Aliases

arxiv: 1803.10619 · arxiv_version: 1803.10619v3 · doi: 10.48550/arxiv.1803.10619 · pith_short_12: NAIQMM24U4GE · pith_short_16: NAIQMM24U4GEYPTR · pith_short_8: NAIQMM24

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/NAIQMM24U4GEYPTRS3WJH7J5WM \
  | 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: 681106335ca70c4c3e7196ec93fd3db329787954b509e5a9e901d21a1926640b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd3f1bfb0bbbb4f93da0d3c488a04213169aedb9866e9d27854f5f40fa4cd20",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-28T13:58:45Z",
    "title_canon_sha256": "cf54b2db92b5fcde9f8f09e64f88ae23aaa633af25194a6c2c35284b2ef6a999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10619",
    "kind": "arxiv",
    "version": 3
  }
}