Pith Number

pith:7VIMZVMV

pith:2017:7VIMZVMVHGMBNOGR7C2Z24RAS3

not attested not anchored not stored refs pending

General Kastler-Kalau-Walze Type Theorems for Manifolds with Boundary II

Yong Wang

arxiv:1712.03096 v1 · 2017-12-07 · 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{7VIMZVMVHGMBNOGR7C2Z24RAS3}

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	2026-05-18T00:28:28.350497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd50ccd595399816b8d1f8b59d722096de32d71b1702bfc86632bcdbe2a8e221

Aliases

arxiv: 1712.03096 · arxiv_version: 1712.03096v1 · doi: 10.48550/arxiv.1712.03096 · pith_short_12: 7VIMZVMVHGMB · pith_short_16: 7VIMZVMVHGMBNOGR · pith_short_8: 7VIMZVMV

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/7VIMZVMVHGMBNOGR7C2Z24RAS3 \
  | 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: fd50ccd595399816b8d1f8b59d722096de32d71b1702bfc86632bcdbe2a8e221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe0824463365bb528a16ae734f51bf35cafa4df4eab17d28789d72f9a2789bd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-07T06:38:45Z",
    "title_canon_sha256": "79857893bc55784ab2b5021552610a8cce7cba1066da55d17c2b91ad6412f09e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03096",
    "kind": "arxiv",
    "version": 1
  }
}