Pith Number

pith:5O2VTKCO

pith:2011:5O2VTKCOSR6VXZXOD3WROSNFDF

not attested not anchored not stored refs pending

Mode Spectrum of the Electromagnetic Field in Open Universe Models

Claudia de Rham, Julian Adamek, Ruth Durrer

arxiv:1110.2019 v2 · 2011-10-10 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5O2VTKCOSR6VXZXOD3WROSNFDF}

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	2026-05-18T03:53:07.101428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb559a84e947d5be6ee1eed1749a5197c2dc646cbdff40e05886fccb6dcfa4a

Aliases

arxiv: 1110.2019 · arxiv_version: 1110.2019v2 · doi: 10.48550/arxiv.1110.2019 · pith_short_12: 5O2VTKCOSR6V · pith_short_16: 5O2VTKCOSR6VXZXO · pith_short_8: 5O2VTKCO

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/5O2VTKCOSR6VXZXOD3WROSNFDF \
  | 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: ebb559a84e947d5be6ee1eed1749a5197c2dc646cbdff40e05886fccb6dcfa4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d09b3b7b5d9068a4de4929fc7e465093890f457b805ab2e2c8c04372dbf56e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-10T12:08:14Z",
    "title_canon_sha256": "d88c3f9b9338fe087597b94d10aa364bfc58aa260d59836d1df59585d3436810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2019",
    "kind": "arxiv",
    "version": 2
  }
}