Pith Number

pith:UWUG7PUC

pith:2013:UWUG7PUCY2ZMOODQG4DQ7OMEHH

not attested not anchored not stored refs pending

Differential Harnack inequalities for a family of sub-elliptic diffusion equations on Sasakian manifolds

Paul W.Y. Lee

arxiv:1302.3315 v1 · 2013-02-14 · 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{UWUG7PUCY2ZMOODQG4DQ7OMEHH}

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	2026-05-18T03:33:39.219134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a86fbe82c6b2c7387037070fb98439c9851fa72cf6360e7662cab52c8a1e0f

Aliases

arxiv: 1302.3315 · arxiv_version: 1302.3315v1 · doi: 10.48550/arxiv.1302.3315 · pith_short_12: UWUG7PUCY2ZM · pith_short_16: UWUG7PUCY2ZMOODQ · pith_short_8: UWUG7PUC

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/UWUG7PUCY2ZMOODQG4DQ7OMEHH \
  | 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: a5a86fbe82c6b2c7387037070fb98439c9851fa72cf6360e7662cab52c8a1e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40ccc05892d4ea495778a9c38b6b3592be00b86088aa3ebcaf830be32bba882",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-14T05:35:34Z",
    "title_canon_sha256": "493469576a3c3a3077c4037b6e802b524b2509c503633244ad97f6a6f178d2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3315",
    "kind": "arxiv",
    "version": 1
  }
}