pith. sign in
Pith Number

pith:R2FOTS3U

pith:2005:R2FOTS3UGMESZVNNRWDZYUCCPO
not attested not anchored not stored refs pending

Simple model of big-crunch/big-bang transition

Przemyslaw Malkiewicz, Wlodzimierz Piechocki

arxiv:gr-qc/0507077 v4 · 2005-07-18 · gr-qc · astro-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R2FOTS3UGMESZVNNRWDZYUCCPO}

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 2026-05-18T02:37:27.532012Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e8ae9cb7433092cd5ad8d879c50427b8a69645c99a0568463f080b8efb130a1

Aliases

arxiv: gr-qc/0507077 · arxiv_version: gr-qc/0507077v4 · doi: 10.48550/arxiv.gr-qc/0507077 · pith_short_12: R2FOTS3UGMES · pith_short_16: R2FOTS3UGMESZVNN · pith_short_8: R2FOTS3U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R2FOTS3UGMESZVNNRWDZYUCCPO \
  | 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: 8e8ae9cb7433092cd5ad8d879c50427b8a69645c99a0568463f080b8efb130a1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8e27d3c8eaaa76e23dcd908cd1ed579b2fd0bf21f81e01f6edbf30108da1a9f8",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-07-18T14:17:26Z",
    "title_canon_sha256": "2feb07a895a7ed949be2555be8e91c504ee6ff70a7947e75639ad1de1c661c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0507077",
    "kind": "arxiv",
    "version": 4
  }
}