Pith Number

pith:7KKYGDWV

pith:2008:7KKYGDWVDVZLOB3QOEMHPCNLIC

not attested not anchored not stored refs pending

Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60

Nan Liang, Shuang Nan Zhang

arxiv:0808.2655 v2 · 2008-08-19 · 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{7KKYGDWVDVZLOB3QOEMHPCNLIC}

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.

Cited by

1 paper in Pith

The distance modulus in dark energy and Cardassian cosmologies via the hypergeometric function

Receipt and verification

First computed	2026-07-04T17:12:24.668387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa95830ed51d72b7077071187789ab40ab98a6e8541a8dc19205e94ddf50417e

Aliases

arxiv: 0808.2655 · arxiv_version: 0808.2655v2 · doi: 10.48550/arxiv.0808.2655 · pith_short_12: 7KKYGDWVDVZL · pith_short_16: 7KKYGDWVDVZLOB3Q · pith_short_8: 7KKYGDWV

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/7KKYGDWVDVZLOB3QOEMHPCNLIC \
  | 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: fa95830ed51d72b7077071187789ab40ab98a6e8541a8dc19205e94ddf50417e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "459c09e284305bbb0ac37dfb6e00c496e8200484d19a21740c3c07c505e4a3f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-08-19T23:52:19Z",
    "title_canon_sha256": "99191c39c68f02086988f3d47203568341fa2b50c6d7368bf7813d1e83d061a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2655",
    "kind": "arxiv",
    "version": 2
  }
}