Pith Number

pith:TK3YUDSA

pith:2023:TK3YUDSAH4XJIB2JSVA2U5TYCE

not attested not anchored not stored refs pending

On the tangential gradient of the kernel of the double layer potential

M. Lanza de Cristoforis

arxiv:2307.04153 v2 · 2023-07-09 · 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{TK3YUDSAH4XJIB2JSVA2U5TYCE}

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	2026-07-05T07:40:54.993721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab78a0e403f2e9407499541aa76781130d4b9247b906ec4a966a93029df11b9

Aliases

arxiv: 2307.04153 · arxiv_version: 2307.04153v2 · doi: 10.48550/arxiv.2307.04153 · pith_short_12: TK3YUDSAH4XJ · pith_short_16: TK3YUDSAH4XJIB2J · pith_short_8: TK3YUDSA

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/TK3YUDSAH4XJIB2JSVA2U5TYCE \
  | 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: 9ab78a0e403f2e9407499541aa76781130d4b9247b906ec4a966a93029df11b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf69f8c746fe67777092a96e9e96b16581e589df73982a97f0f379a5f268b4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-07-09T11:15:44Z",
    "title_canon_sha256": "2adb2ee4f1ffc9c313caf4d727b5263a970ba8b9f45269659cda500b23be1f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04153",
    "kind": "arxiv",
    "version": 2
  }
}