Pith Number

pith:PJHH3YS3

pith:1995:PJHH3YS33XXEJZUXVR66QI2NYH

not attested not anchored not stored refs pending

The initial singularity in solutions of the Einstein-Vlasov system of Bianchi type I

Alan D. Rendall

arxiv:gr-qc/9505017 v1 · 1995-05-15 · 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{PJHH3YS33XXEJZUXVR66QI2NYH}

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	2026-05-18T04:17:52.674224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4e7de25bddee44e697ac7de8234dc1dd1d9ba201540a9d6f8522f87aa5acec

Aliases

arxiv: gr-qc/9505017 · arxiv_version: gr-qc/9505017v1 · doi: 10.48550/arxiv.gr-qc/9505017 · pith_short_12: PJHH3YS33XXE · pith_short_16: PJHH3YS33XXEJZUX · pith_short_8: PJHH3YS3

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/PJHH3YS33XXEJZUXVR66QI2NYH \
  | 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: 7a4e7de25bddee44e697ac7de8234dc1dd1d9ba201540a9d6f8522f87aa5acec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a513f2e552006417bd7251e202f136d7c7e77d76a1123be672e0f9e8faf268",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1995-05-15T14:55:15Z",
    "title_canon_sha256": "f992cb88dfcc6888062dd2acd4f90ab9751d8a8d7eb448ef8df069e743a17352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9505017",
    "kind": "arxiv",
    "version": 1
  }
}