Pith Number

pith:2W2SW6LH

pith:2008:2W2SW6LHY2GMIYYIQYRI4E2JPF

not attested not anchored not stored refs pending

Isotropization in the approach to big rip singularities for Cardassian models

Alan D. Rendall, Nikolaus Berndt

arxiv:0804.3693 v1 · 2008-04-23 · 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{2W2SW6LHY2GMIYYIQYRI4E2JPF}

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	2026-07-04T15:27:06.389428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b52b7967c68cc4630886228e13497975f4c096098196a2abfcfb66076e3f53

Aliases

arxiv: 0804.3693 · arxiv_version: 0804.3693v1 · doi: 10.48550/arxiv.0804.3693 · pith_short_12: 2W2SW6LHY2GM · pith_short_16: 2W2SW6LHY2GMIYYI · pith_short_8: 2W2SW6LH

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/2W2SW6LHY2GMIYYIQYRI4E2JPF \
  | 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: d5b52b7967c68cc4630886228e13497975f4c096098196a2abfcfb66076e3f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0884202e517bf9663351b284a1a1a28702816177cdc92b1c2f369fb36d7ccef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-04-23T11:38:45Z",
    "title_canon_sha256": "9886d9bc85c72fa80903c99f851270ef80cd2e30ab40e71cfe027428a51f794c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3693",
    "kind": "arxiv",
    "version": 1
  }
}