Pith Number

pith:YJL4KXXI

pith:2001:YJL4KXXIQOAS64MC6VAYZSV2AH

not attested not anchored not stored refs pending

Conformal Symmetry and Cosmological Entropy Production

Alexander B. Balakin (Kazan), Winfried Zimdahl (Konstanz)

arxiv:gr-qc/0109081 v1 · 2001-09-24 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJL4KXXIQOAS64MC6VAYZSV2AH}

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	2026-05-18T01:39:24.025620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c257c55ee883812f7182f5418ccaba01d7db2f990c04dfea287d73a6e9b29750

Aliases

arxiv: gr-qc/0109081 · arxiv_version: gr-qc/0109081v1 · doi: 10.48550/arxiv.gr-qc/0109081 · pith_short_12: YJL4KXXIQOAS · pith_short_16: YJL4KXXIQOAS64MC · pith_short_8: YJL4KXXI

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/YJL4KXXIQOAS64MC6VAYZSV2AH \
  | 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: c257c55ee883812f7182f5418ccaba01d7db2f990c04dfea287d73a6e9b29750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff31f1497d142f760dfbcd27f0297e0bce1a97a5dd783b5269527e0c58851ee",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-24T06:33:45Z",
    "title_canon_sha256": "d0b1fd96fc677f9afa8c29d126d5eeb77f39db8b8e5a6a2cdde41626f6eb825a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109081",
    "kind": "arxiv",
    "version": 1
  }
}