Pith Number

pith:NJFMVCTM

pith:2012:NJFMVCTM3653J5GLKJHWOSUT27

not attested not anchored not stored refs pending

Spin-Hamilton Operator, Graviton-Photon Coupling and an Eigenvalue Problem

Willi-Hans Steeb, Yorick Hardy

arxiv:1209.6494 v2 · 2012-09-28 · 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{NJFMVCTM3653J5GLKJHWOSUT27}

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	2026-05-18T03:21:43.568080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4aca8a6cdfbbb4f4cb524f674a93d7d8b06fc55db7ab999ad895ed6f650dcb

Aliases

arxiv: 1209.6494 · arxiv_version: 1209.6494v2 · doi: 10.48550/arxiv.1209.6494 · pith_short_12: NJFMVCTM3653 · pith_short_16: NJFMVCTM3653J5GL · pith_short_8: NJFMVCTM

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/NJFMVCTM3653J5GLKJHWOSUT27 \
  | 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: 6a4aca8a6cdfbbb4f4cb524f674a93d7d8b06fc55db7ab999ad895ed6f650dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4d4c70c3ddc32f46b39c7412befa56669b1a719efa5898dc7025e34ea54752",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-28T11:52:14Z",
    "title_canon_sha256": "ebefb9d4c2f12a5b6428e2b13b9cc69c9fe4a7bccdcd9e1ba5fe7a8aacd18040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6494",
    "kind": "arxiv",
    "version": 2
  }
}