Pith Number

pith:A7JWXQ23

pith:2025:A7JWXQ23ODC4UD6ZCPY2HVXSZG

not attested not anchored not stored refs pending

On the domains of first order differential operators on the Sierpi\'{n}ski gasket

Waldemar Schefer

arxiv:2506.08679 v1 · 2025-06-10 · math.FA · 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{A7JWXQ23ODC4UD6ZCPY2HVXSZG}

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	2026-07-05T11:19:11.829651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d36bc35b70c5ca0fd913f1a3d6f2c9b3f4cb36fe97d9a67795b0bb95c06e34

Aliases

arxiv: 2506.08679 · arxiv_version: 2506.08679v1 · doi: 10.48550/arxiv.2506.08679 · pith_short_12: A7JWXQ23ODC4 · pith_short_16: A7JWXQ23ODC4UD6Z · pith_short_8: A7JWXQ23

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/A7JWXQ23ODC4UD6ZCPY2HVXSZG \
  | 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: 07d36bc35b70c5ca0fd913f1a3d6f2c9b3f4cb36fe97d9a67795b0bb95c06e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fecb7e2cf7f04d96ecc9b08e1111cdda4c8952fa2afadb39479c71db96c4fa0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-10T10:43:31Z",
    "title_canon_sha256": "414e4050b27adea2dca4230dc34ccfde6b638bba4cb71dd0906670e5a89eb342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08679",
    "kind": "arxiv",
    "version": 1
  }
}