Pith Number

pith:ZOUJLWSZ

pith:2010:ZOUJLWSZ5IIXSQTEO27SYBGUVU

not attested not anchored not stored refs pending

Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow

Jia-Yong Wu

arxiv:1009.1219 v4 · 2010-09-07 · 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{ZOUJLWSZ5IIXSQTEO27SYBGUVU}

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	2026-05-18T03:48:23.602418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba895da59ea1179426476bf2c04d4ad20c05554bfbc23aae4c89da5a7c507f9

Aliases

arxiv: 1009.1219 · arxiv_version: 1009.1219v4 · doi: 10.48550/arxiv.1009.1219 · pith_short_12: ZOUJLWSZ5IIX · pith_short_16: ZOUJLWSZ5IIXSQTE · pith_short_8: ZOUJLWSZ

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/ZOUJLWSZ5IIXSQTEO27SYBGUVU \
  | 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: cba895da59ea1179426476bf2c04d4ad20c05554bfbc23aae4c89da5a7c507f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331232abed3c38edaae753104d3eff4a3cce93acd81426a3a33daac27cbe442b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-07T08:09:37Z",
    "title_canon_sha256": "d82a5b6c94be769644a36135992009a2b29f84c2307574c6d3c37b6921b67907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1219",
    "kind": "arxiv",
    "version": 4
  }
}