Pith Number

pith:WT4HDG5K

pith:2007:WT4HDG5KPXCEHUMJ3H7L76IFYV

not attested not anchored not stored refs pending

Luminosity distance in GX cosmological models

G.V. Vereshchagin, G. Yegorian, H.G. Khachatryan

arxiv:0707.1150 v1 · 2007-07-09 · 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{WT4HDG5KPXCEHUMJ3H7L76IFYV}

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	2026-05-18T04:36:42.087144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f8719baa7dc443d189d9febff905c5633c6e711705ae20a681c95fce3bda73

Aliases

arxiv: 0707.1150 · arxiv_version: 0707.1150v1 · doi: 10.48550/arxiv.0707.1150 · pith_short_12: WT4HDG5KPXCE · pith_short_16: WT4HDG5KPXCEHUMJ · pith_short_8: WT4HDG5K

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/WT4HDG5KPXCEHUMJ3H7L76IFYV \
  | 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: b4f8719baa7dc443d189d9febff905c5633c6e711705ae20a681c95fce3bda73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069a4c7d1905d70ba4bf0ba70037a514fc81db1030bf28096bd11887226e800d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-07-09T12:48:56Z",
    "title_canon_sha256": "a6a6cf0fe93df7bbda8aa04fe2bd6dee226f2711af83f38c385396ce5df5f278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1150",
    "kind": "arxiv",
    "version": 1
  }
}