Pith Number

pith:HRPM6A7T

pith:2017:HRPM6A7T3IFLDSAGMM6CF3KX4B

not attested not anchored not stored refs pending

Fractional thoughts

Nicola Garofalo

arxiv:1712.03347 v4 · 2017-12-09 · 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{HRPM6A7T3IFLDSAGMM6CF3KX4B}

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.

Cited by

2 papers in Pith

$s$-harmonic functions in the small order limit

Gagliardo-Nirenberg type inequalities with a BMO term and fractional Laplacians

Receipt and verification

First computed	2026-05-18T00:21:40.552555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5ecf03f3da0ab1c806633c22ed57e04c7c957fefb4aa144139d4a71eaf591f

Aliases

arxiv: 1712.03347 · arxiv_version: 1712.03347v4 · doi: 10.48550/arxiv.1712.03347 · pith_short_12: HRPM6A7T3IFL · pith_short_16: HRPM6A7T3IFLDSAG · pith_short_8: HRPM6A7T

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/HRPM6A7T3IFLDSAGMM6CF3KX4B \
  | 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: 3c5ecf03f3da0ab1c806633c22ed57e04c7c957fefb4aa144139d4a71eaf591f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c92bb144bfb9f6df249d4887a93aa24268152687dd6419a2dfc85a66290496a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-09T06:53:15Z",
    "title_canon_sha256": "02f4af4d6a22e08df08e7b04fe48d2f51d09796c7668d0de14f98ff81efb2fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03347",
    "kind": "arxiv",
    "version": 4
  }
}