Pith Number

pith:GUEQIMX7

pith:2010:GUEQIMX77SJDPGS2JFYSFY6MXE

not attested not anchored not stored refs pending

A Harnack inequality for fractional Laplace equations with lower order terms

Jingang Xiong, Jinggang Tan

arxiv:1101.0013 v1 · 2010-12-29 · 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{GUEQIMX77SJDPGS2JFYSFY6MXE}

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	2026-05-18T03:39:53.281801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35090432fffc92379a5a497122e3ccb912b39aac0ca03e5aed0455be63a8f648

Aliases

arxiv: 1101.0013 · arxiv_version: 1101.0013v1 · doi: 10.48550/arxiv.1101.0013 · pith_short_12: GUEQIMX77SJD · pith_short_16: GUEQIMX77SJDPGS2 · pith_short_8: GUEQIMX7

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/GUEQIMX77SJDPGS2JFYSFY6MXE \
  | 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: 35090432fffc92379a5a497122e3ccb912b39aac0ca03e5aed0455be63a8f648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665688e7f485a0af24addd12f8fac73add6fd1eec6ecb248a0b3d6fc42c87566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-29T22:11:50Z",
    "title_canon_sha256": "6169d461f073d01fcc33ba61648797f647d72a4f48e92c0d1897f7e413e51f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0013",
    "kind": "arxiv",
    "version": 1
  }
}