Pith Number

pith:VYC7GMDB

pith:2012:VYC7GMDBOPVO6EXX6DIXHMLBNV

not attested not anchored not stored refs pending

Gravity Without Curved Spacetime: A Simple Calculation

F. R. Klinkhamer

arxiv:1208.3168 v3 · 2012-08-15 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYC7GMDBOPVO6EXX6DIXHMLBNV}

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	2026-05-18T03:46:06.641532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae05f3306173eaef12f7f0d173b1616d7392ed021be48285446513bab0838065

Aliases

arxiv: 1208.3168 · arxiv_version: 1208.3168v3 · doi: 10.48550/arxiv.1208.3168 · pith_short_12: VYC7GMDBOPVO · pith_short_16: VYC7GMDBOPVO6EXX · pith_short_8: VYC7GMDB

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/VYC7GMDBOPVO6EXX6DIXHMLBNV \
  | 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: ae05f3306173eaef12f7f0d173b1616d7392ed021be48285446513bab0838065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f797e20c1a53c84441114871775f9741115a60ac89a6ccb922a83997491cfa6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-15T18:07:24Z",
    "title_canon_sha256": "ba30d95e5da035ba6b4df26d96a5f5b77d173935b795847e8b87035df8144c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3168",
    "kind": "arxiv",
    "version": 3
  }
}