Pith Number

pith:UKGF65BP

pith:2016:UKGF65BPP7UOMLB7R4ODPY43E7

not attested not anchored not stored refs pending

Elliptic gradient estimates for a nonlinear heat equation and applications

Jia-Yong Wu

arxiv:1603.00166 v1 · 2016-03-01 · 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{UKGF65BPP7UOMLB7R4ODPY43E7}

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	2026-05-18T00:52:58.839206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28c5f742f7fe8e62c3f8f1c37e39b27deb7d94dc71f55733f8e7a8c7e4f9b23

Aliases

arxiv: 1603.00166 · arxiv_version: 1603.00166v1 · doi: 10.48550/arxiv.1603.00166 · pith_short_12: UKGF65BPP7UO · pith_short_16: UKGF65BPP7UOMLB7 · pith_short_8: UKGF65BP

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/UKGF65BPP7UOMLB7R4ODPY43E7 \
  | 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: a28c5f742f7fe8e62c3f8f1c37e39b27deb7d94dc71f55733f8e7a8c7e4f9b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f82f1ca2f22a508aa932866f3839790ca9766e4f852fd0539f784bd18d2d198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-01T07:09:39Z",
    "title_canon_sha256": "49f8f3da276524051d1435ed22e49d018717aba15e3f9d5c57d4155a3dd6ee37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00166",
    "kind": "arxiv",
    "version": 1
  }
}