Pith Number

pith:P4IDK6BL

pith:2014:P4IDK6BLI2CNR3T32L3TKBXGJC

not attested not anchored not stored refs pending

A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary

Jian Wang, Yong Wang

arxiv:1404.6015 v1 · 2014-04-24 · 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{P4IDK6BLI2CNR3T32L3TKBXGJC}

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	2026-05-18T02:00:59.064683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1035782b4684d8ee7bd2f73506e648baf3159f54792f89d71f2518a2a54f4a

Aliases

arxiv: 1404.6015 · arxiv_version: 1404.6015v1 · doi: 10.48550/arxiv.1404.6015 · pith_short_12: P4IDK6BLI2CN · pith_short_16: P4IDK6BLI2CNR3T3 · pith_short_8: P4IDK6BL

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/P4IDK6BLI2CNR3T32L3TKBXGJC \
  | 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: 7f1035782b4684d8ee7bd2f73506e648baf3159f54792f89d71f2518a2a54f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df61e9238fca7d45d9a9bb61eb957a546a91fce2ae01bd008dde99e7048547aa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-24T02:56:32Z",
    "title_canon_sha256": "a5e8f94bd380cca78fa42e6c6f196dcce2da199aa24e6974d55b1740e9cd3d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6015",
    "kind": "arxiv",
    "version": 1
  }
}