Pith Number

pith:33X2WA7J

pith:2013:33X2WA7JXXD3XWSRGVOLQFSJ5F

not attested not anchored not stored refs pending

A Topological Extension of General Relativity to Explore the Nature of Quantum Space-time, Dark Energy and Inflation

Marco Spaans (Kapteyn Institute, Univ. of Groningen)

arxiv:1305.4630 v4 · 2013-05-20 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33X2WA7JXXD3XWSRGVOLQFSJ5F}

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	2026-05-18T03:18:18.232938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deefab03e9bdc7bbda51355cb81649e96e04e5aba85df24f08d93fc5ed3c304e

Aliases

arxiv: 1305.4630 · arxiv_version: 1305.4630v4 · doi: 10.48550/arxiv.1305.4630 · pith_short_12: 33X2WA7JXXD3 · pith_short_16: 33X2WA7JXXD3XWSR · pith_short_8: 33X2WA7J

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/33X2WA7JXXD3XWSRGVOLQFSJ5F \
  | 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: deefab03e9bdc7bbda51355cb81649e96e04e5aba85df24f08d93fc5ed3c304e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3db9b91fef6e90f14b61907e6b17b488219d0aabe95ff7c5da0e3e7d65d849f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2013-05-20T13:43:22Z",
    "title_canon_sha256": "6084dea00e533f5f2182d6a259b3327a45e249a35e4aca85f7dae9c777adaf64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4630",
    "kind": "arxiv",
    "version": 4
  }
}