Pith Number

pith:IZU3UF2Z

pith:2017:IZU3UF2ZCOJUSJ55PH75XKAOEO

not attested not anchored not stored refs pending

Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant

Ernesto Nungesser, Ho Lee

arxiv:1705.07009 v1 · 2017-05-19 · math-ph · gr-qc · 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{IZU3UF2ZCOJUSJ55PH75XKAOEO}

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	2026-05-18T00:33:18.057920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4669ba175913934927bd79ffdba80e238a14e79c1e21fb9a3a344c0fd2e133f5

Aliases

arxiv: 1705.07009 · arxiv_version: 1705.07009v1 · doi: 10.48550/arxiv.1705.07009 · pith_short_12: IZU3UF2ZCOJU · pith_short_16: IZU3UF2ZCOJUSJ55 · pith_short_8: IZU3UF2Z

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/IZU3UF2ZCOJUSJ55PH75XKAOEO \
  | 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: 4669ba175913934927bd79ffdba80e238a14e79c1e21fb9a3a344c0fd2e133f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9011d707bf54ceeccdc8531ef18020cfff3f72d44fe6bacf96e925d9c6d34e08",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-19T14:17:59Z",
    "title_canon_sha256": "9c79c4fe382fb91aa76ef9d4031df5a9146cd361e67e11d1a051262a2e279b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07009",
    "kind": "arxiv",
    "version": 1
  }
}