Pith Number

pith:VB4ZW55S

pith:2013:VB4ZW55SAAG6BWEZQIOSQBGQXY

not attested not anchored not stored refs pending

Inhomogeneous cosmology in the cosmic rest frame without dark stuff

G\"unter Scharf

arxiv:1312.2695 v7 · 2013-12-10 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VB4ZW55SAAG6BWEZQIOSQBGQXY}

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	2026-05-18T01:20:17.890616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8799b77b2000de0d899821d2804d0be1218b196d530565f41bbb8ca0ab39ac1

Aliases

arxiv: 1312.2695 · arxiv_version: 1312.2695v7 · doi: 10.48550/arxiv.1312.2695 · pith_short_12: VB4ZW55SAAG6 · pith_short_16: VB4ZW55SAAG6BWEZ · pith_short_8: VB4ZW55S

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/VB4ZW55SAAG6BWEZQIOSQBGQXY \
  | 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: a8799b77b2000de0d899821d2804d0be1218b196d530565f41bbb8ca0ab39ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b893b4212b9604e4b494025116bdb5d1fb31845d5e2984e6c46d59f96ef0613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-10T07:57:10Z",
    "title_canon_sha256": "f3669c020baaf2cb7dd76ad759e677a2d8e4c407262bc25d2d212c3144bc1851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2695",
    "kind": "arxiv",
    "version": 7
  }
}