Pith Number

pith:CMABDZF2

pith:2010:CMABDZF2OCRCCPBNRWGXWYL4TX

not attested not anchored not stored refs pending

The Klein-Gordon equation in Machian model

Bin Liu, Jian-Bo Deng, Xian-Ru Hu, Yun-Chuan Dai

arxiv:1012.2560 v2 · 2010-12-12 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMABDZF2OCRCCPBNRWGXWYL4TX}

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	2026-05-18T04:17:15.062830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130011e4ba70a2213c2d8d8d7b617c9df7819bc7d3db6c1a63fe13eea05801e1

Aliases

arxiv: 1012.2560 · arxiv_version: 1012.2560v2 · doi: 10.48550/arxiv.1012.2560 · pith_short_12: CMABDZF2OCRC · pith_short_16: CMABDZF2OCRCCPBN · pith_short_8: CMABDZF2

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/CMABDZF2OCRCCPBNRWGXWYL4TX \
  | 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: 130011e4ba70a2213c2d8d8d7b617c9df7819bc7d3db6c1a63fe13eea05801e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0351b5aba18c52f35628454f41cc599bd0bd504791f4722e40f6b182c389c83d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-12T17:16:12Z",
    "title_canon_sha256": "78f18550a333743a90309811cda4a05e8258455ab5482f4af039f39a9726a56a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2560",
    "kind": "arxiv",
    "version": 2
  }
}