Pith Number

pith:PVAWIGMC

pith:2019:PVAWIGMCYEYXGZFMSPMKQXI5K6

not attested not anchored not stored refs pending

Einstein-Vlasov Calculations of Structure Formation

Frans Pretorius, Rados{\l}aw Wojtak, William E. East

arxiv:1908.05683 v2 · 2019-08-15 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVAWIGMCYEYXGZFMSPMKQXI5K6}

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	2026-07-05T00:22:25.254005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d41641982c1317364ac93d8a85d1d5792fff2a653dee8f2e7511ba6ea355687

Aliases

arxiv: 1908.05683 · arxiv_version: 1908.05683v2 · doi: 10.48550/arxiv.1908.05683 · pith_short_12: PVAWIGMCYEYX · pith_short_16: PVAWIGMCYEYXGZFM · pith_short_8: PVAWIGMC

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/PVAWIGMCYEYXGZFMSPMKQXI5K6 \
  | 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: 7d41641982c1317364ac93d8a85d1d5792fff2a653dee8f2e7511ba6ea355687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088dea7f62dcdc00a1533013c8da5c10b50575a0a0d34e0c900bc8ae9c0a0177",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-08-15T18:00:00Z",
    "title_canon_sha256": "7b2d9d1fc5ebc991e05fd95e387dee67959015c8dca712be0d1ddb2266245ba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05683",
    "kind": "arxiv",
    "version": 2
  }
}