Pith Number

pith:46DVN73P

pith:2012:46DVN73PGIW4UOXBX5FAGXWHXS

not attested not anchored not stored refs pending

A Kastler-Kalau-Walze type theorem and the spectral action for perturbations of Dirac operators on manifolds with boundary

Yong Wang

arxiv:1210.5005 v4 · 2012-10-18 · math.DG · 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{46DVN73PGIW4UOXBX5FAGXWHXS}

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	2026-05-18T02:46:31.513791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78756ff6f322dca3ae1bf4a035ec7bca8865e03d0d8d99e15a3b72b23f73e3d

Aliases

arxiv: 1210.5005 · arxiv_version: 1210.5005v4 · doi: 10.48550/arxiv.1210.5005 · pith_short_12: 46DVN73PGIW4 · pith_short_16: 46DVN73PGIW4UOXB · pith_short_8: 46DVN73P

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/46DVN73PGIW4UOXBX5FAGXWHXS \
  | 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: e78756ff6f322dca3ae1bf4a035ec7bca8865e03d0d8d99e15a3b72b23f73e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a214fdda8222b2c3deaa8c494cbd0d3e3620dd335ec7418a9160d9c07abe2cfe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-18T01:39:22Z",
    "title_canon_sha256": "02bc98c7dc92550cd9a6b36ed8fccff7af1d4e8c0cd1afda35379a46ad3d1ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5005",
    "kind": "arxiv",
    "version": 4
  }
}