Pith Number

pith:TCC6F4LY

pith:2019:TCC6F4LYY3M27E5WHPZEJHWC36

not attested not anchored not stored refs pending

Integral representation using Green function for fractional Hardy equation

Anup Biswas, Debdip Ganguly, Luigi Montoro, Mousomi Bhakta

arxiv:1907.00186 v1 · 2019-06-29 · 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{TCC6F4LYY3M27E5WHPZEJHWC36}

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	2026-05-17T23:41:52.571008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9885e2f178c6d9af93b63bf2449ec2dfa932bc17ab75818cc54d129f9834da5c

Aliases

arxiv: 1907.00186 · arxiv_version: 1907.00186v1 · doi: 10.48550/arxiv.1907.00186 · pith_short_12: TCC6F4LYY3M2 · pith_short_16: TCC6F4LYY3M27E5W · pith_short_8: TCC6F4LY

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/TCC6F4LYY3M27E5WHPZEJHWC36 \
  | 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: 9885e2f178c6d9af93b63bf2449ec2dfa932bc17ab75818cc54d129f9834da5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5004faa8aac63fcaa4b919b6f7939afc384c7d5cd12d036489dae599de411e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-29T11:49:12Z",
    "title_canon_sha256": "41e3877f68e520e9564f9097aa0946037d667b1dd42cfb8feef5f130a82b32b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00186",
    "kind": "arxiv",
    "version": 1
  }
}