Pith Number

pith:S43O4RGR

pith:2015:S43O4RGRXYK5U3R6NLQBTUTBWS

not attested not anchored not stored refs pending

The local counting function of operators of Dirac and Laplace type

Alexander Strohmaier, Liangpan Li

arxiv:1509.00198 v1 · 2015-09-01 · math.SP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S43O4RGRXYK5U3R6NLQBTUTBWS}

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	2026-05-18T01:16:49.054452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9736ee44d1be15da6e3e6ae019d261b497033ca858857af2098df641ac9e417e

Aliases

arxiv: 1509.00198 · arxiv_version: 1509.00198v1 · doi: 10.48550/arxiv.1509.00198 · pith_short_12: S43O4RGRXYK5 · pith_short_16: S43O4RGRXYK5U3R6 · pith_short_8: S43O4RGR

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/S43O4RGRXYK5U3R6NLQBTUTBWS \
  | 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: 9736ee44d1be15da6e3e6ae019d261b497033ca858857af2098df641ac9e417e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3b2271b01ca1e3e345e0fe2cc07b6200e42ab801b6a6edf7635f5f2782ef98",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-01T09:48:31Z",
    "title_canon_sha256": "a0f7d72f58ea5cb5f2c8fe82b295ab8b3af31d4fa19c85179a91e99136c609fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00198",
    "kind": "arxiv",
    "version": 1
  }
}