Pith Number

pith:XNKG7YRL

pith:2011:XNKG7YRLTGSYZSX7LT2NC5THWV

not attested not anchored not stored refs pending

A Spatially Homogeneous and Isotropic Einstein-Dirac Cosmology

Christian Hainzl, Felix Finster

arxiv:1101.1872 v2 · 2011-01-10 · 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{XNKG7YRLTGSYZSX7LT2NC5THWV}

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	2026-05-18T02:53:42.009604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb546fe22b99a58ccaff5cf4d17667b54cee0f45870fed6b4b94f9d8b7358db8

Aliases

arxiv: 1101.1872 · arxiv_version: 1101.1872v2 · doi: 10.48550/arxiv.1101.1872 · pith_short_12: XNKG7YRLTGSY · pith_short_16: XNKG7YRLTGSYZSX7 · pith_short_8: XNKG7YRL

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/XNKG7YRLTGSYZSX7LT2NC5THWV \
  | 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: bb546fe22b99a58ccaff5cf4d17667b54cee0f45870fed6b4b94f9d8b7358db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b3c90a77dad84a086bd428015ffc969e96335da8c52c6a23cca529386ae9fd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-10T16:24:53Z",
    "title_canon_sha256": "e6f4b9a1e30fccd699b0a831edeb0a593877c9f062831561d8b3189e31957e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1872",
    "kind": "arxiv",
    "version": 2
  }
}