Pith Number

pith:IXGIU4CW

pith:2008:IXGIU4CWGGCHAKLU43KCXUKZ4G

not attested not anchored not stored refs pending

Luminosity, redshift and gas abundance in general relativistic radiation hydrodynamics

Edward Malec, Janusz Karkowski, Krzysztof Roszkowski, Zdobyslaw Swierczynski

arxiv:0806.2240 v1 · 2008-06-13 · 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{IXGIU4CWGGCHAKLU43KCXUKZ4G}

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	2026-07-04T15:12:12.312247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cc8a70563184702974e6d42bd159e1a329ca971bc8f9c0357995cd7f16ea71

Aliases

arxiv: 0806.2240 · arxiv_version: 0806.2240v1 · doi: 10.48550/arxiv.0806.2240 · pith_short_12: IXGIU4CWGGCH · pith_short_16: IXGIU4CWGGCHAKLU · pith_short_8: IXGIU4CW

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/IXGIU4CWGGCHAKLU43KCXUKZ4G \
  | 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: 45cc8a70563184702974e6d42bd159e1a329ca971bc8f9c0357995cd7f16ea71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43c799a522a4663b1a2eeaeeff178b13fdb3d6e889e6f565279952ac2875029",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-06-13T13:08:11Z",
    "title_canon_sha256": "a57f18bd23de271866d66becb80222cedd4217248d1432275c75672598164352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2240",
    "kind": "arxiv",
    "version": 1
  }
}