Pith Number

pith:GB2D4WUM

pith:2018:GB2D4WUMMGQDR2BS7J7TS32OUW

not attested not anchored not stored refs pending

Sharp gradient estimates for a heat equation in Riemannian manifolds

Ha Tuan Dung, Nguyen Thac Dung

arxiv:1810.03189 v1 · 2018-10-07 · 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{GB2D4WUMMGQDR2BS7J7TS32OUW}

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	2026-05-18T00:03:54.233225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30743e5a8c61a038e832fa7f396f4ea5b4ad61869c5bf637436fdea1aa7248fa

Aliases

arxiv: 1810.03189 · arxiv_version: 1810.03189v1 · doi: 10.48550/arxiv.1810.03189 · pith_short_12: GB2D4WUMMGQD · pith_short_16: GB2D4WUMMGQDR2BS · pith_short_8: GB2D4WUM

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/GB2D4WUMMGQDR2BS7J7TS32OUW \
  | 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: 30743e5a8c61a038e832fa7f396f4ea5b4ad61869c5bf637436fdea1aa7248fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ea120c7c7dc9f25fbaa89234e4d3f8c89883c4601eed09311a6cdb8fcb5481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-07T17:50:01Z",
    "title_canon_sha256": "f4de9b8e57fa822ec171300a55cb62271813b999e35a21ee6492611e0f6db7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03189",
    "kind": "arxiv",
    "version": 1
  }
}