Pith Number

pith:SJNNMZBQ

pith:2025:SJNNMZBQSTQTTLERKD3U6AG74V

not attested not anchored not stored refs pending

The noncommutative residue, divergence theorems and the spectral geometry functional

Jian Wang, Yong Wang

arxiv:2506.18038 v1 · 2025-06-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJNNMZBQSTQTTLERKD3U6AG74V}

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	2026-07-05T11:25:27.553525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925ad6643094e139ac9150f74f00dfe55c82465875b4ea575dcc96de705ffeac

Aliases

arxiv: 2506.18038 · arxiv_version: 2506.18038v1 · doi: 10.48550/arxiv.2506.18038 · pith_short_12: SJNNMZBQSTQT · pith_short_16: SJNNMZBQSTQTTLER · pith_short_8: SJNNMZBQ

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/SJNNMZBQSTQTTLERKD3U6AG74V \
  | 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: 925ad6643094e139ac9150f74f00dfe55c82465875b4ea575dcc96de705ffeac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f7bf02629249f6668c76a97393d0c4b136bfee2640c22028de0930b8be099c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-22T13:42:37Z",
    "title_canon_sha256": "f98c59bdef176fa018a9740fce614830867f32d82240a4c0598c144e6fd6788d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18038",
    "kind": "arxiv",
    "version": 1
  }
}