Pith Number

pith:PHJ6SNLB

pith:2017:PHJ6SNLBHBH2GJMUCXODUURPS5

not attested not anchored not stored refs pending

Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

Hong-Quan Li, Peter Sj\"ogren

arxiv:1701.04936 v1 · 2017-01-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHJ6SNLBHBH2GJMUCXODUURPS5}

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	2026-05-18T00:52:33.469813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d3e93561384fa3259415dc3a522f97697803d63ec09d009bcc678d8d68d5cc

Aliases

arxiv: 1701.04936 · arxiv_version: 1701.04936v1 · doi: 10.48550/arxiv.1701.04936 · pith_short_12: PHJ6SNLBHBH2 · pith_short_16: PHJ6SNLBHBH2GJMU · pith_short_8: PHJ6SNLB

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/PHJ6SNLBHBH2GJMUCXODUURPS5 \
  | 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: 79d3e93561384fa3259415dc3a522f97697803d63ec09d009bcc678d8d68d5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf15ac8c8bd6650543da8f5921d17a350c5f177802012cbab85bdd885763922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-18T04:02:12Z",
    "title_canon_sha256": "9e25b29a14aece734606f15e938c0de0fe990f7d30b4c1f3b229b7f6ea1afea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04936",
    "kind": "arxiv",
    "version": 1
  }
}