Pith Number

pith:XBWAU6XH

pith:2016:XBWAU6XHTQCVKQZ5DUKQD74ZVF

not attested not anchored not stored refs pending

Gradient estimates for some evolution equations on complete smooth metric measure spaces

Kieu Thi Thuy Linh, Nguyen Thac Dung, Ninh Van Thu

arxiv:1610.03198 v1 · 2016-10-11 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBWAU6XHTQCVKQZ5DUKQD74ZVF}

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	2026-05-18T01:02:46.271141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86c0a7ae79c0555433d1d1501ff99a97ccc55f8653f70599022c1e1c4f19c22

Aliases

arxiv: 1610.03198 · arxiv_version: 1610.03198v1 · doi: 10.48550/arxiv.1610.03198 · pith_short_12: XBWAU6XHTQCV · pith_short_16: XBWAU6XHTQCVKQZ5 · pith_short_8: XBWAU6XH

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/XBWAU6XHTQCVKQZ5DUKQD74ZVF \
  | 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: b86c0a7ae79c0555433d1d1501ff99a97ccc55f8653f70599022c1e1c4f19c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f0d314766fc53dcade09abbfdc9ec4619fbe7d085931641436797e369fcfb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-11T05:47:03Z",
    "title_canon_sha256": "507118486dca1cee10b8398b6fcc8a87807bc99f53b3b89d4005a17ce1a2544d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03198",
    "kind": "arxiv",
    "version": 1
  }
}