Pith Number

pith:B4KZZMQM

pith:2024:B4KZZMQMCRK536M55CIRDEXJ7O

not attested not anchored not stored refs pending

The spectral torsion for the Connes type operator

Jian Wang, Yong Wang

arxiv:2408.07149 v1 · 2024-08-13 · 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{B4KZZMQMCRK536M55CIRDEXJ7O}

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	2026-07-05T11:11:34.034639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f159cb20c1455ddf99de8911192e9fb97cd3e25c72006641be36e74369b2ca9

Aliases

arxiv: 2408.07149 · arxiv_version: 2408.07149v1 · doi: 10.48550/arxiv.2408.07149 · pith_short_12: B4KZZMQMCRK5 · pith_short_16: B4KZZMQMCRK536M5 · pith_short_8: B4KZZMQM

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/B4KZZMQMCRK536M55CIRDEXJ7O \
  | 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: 0f159cb20c1455ddf99de8911192e9fb97cd3e25c72006641be36e74369b2ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5223ac74f386b509bd04d39976872c0fa5d217cc720a566070317f943de86498",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-08-13T18:39:42Z",
    "title_canon_sha256": "4be2a94f4349af4c1d895d5be4a446c30ef8104cf9e3c1eee755cb236b8e53d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.07149",
    "kind": "arxiv",
    "version": 1
  }
}