Pith Number

pith:CTMEBZDM

pith:2016:CTMEBZDM3R3KUHD5DHZWZVODG7

not attested not anchored not stored refs pending

Averaged universe confronted with cosmological observations: A fully covariant approach

Mustapha Ishak, Tharake Wijenayake, Weikang Lin

arxiv:1604.03503 v2 · 2016-04-12 · astro-ph.CO · 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{CTMEBZDM3R3KUHD5DHZWZVODG7}

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	2026-05-18T00:57:44.046741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d840e46cdc76aa1c7d19f36cd5c337e1477bf5f850ca878bdf25fe5cbee2e0

Aliases

arxiv: 1604.03503 · arxiv_version: 1604.03503v2 · doi: 10.48550/arxiv.1604.03503 · pith_short_12: CTMEBZDM3R3K · pith_short_16: CTMEBZDM3R3KUHD5 · pith_short_8: CTMEBZDM

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/CTMEBZDM3R3KUHD5DHZWZVODG7 \
  | 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: 14d840e46cdc76aa1c7d19f36cd5c337e1477bf5f850ca878bdf25fe5cbee2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b834990ea5ae1f9ed20ea5832edee10fe1d8d22f12599ffdc4dac7f6b83b11",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-12T18:28:49Z",
    "title_canon_sha256": "2eff2e1b339f65ed5c4d3aa4a68809da5a737bcade81853e436c57dc6df99936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03503",
    "kind": "arxiv",
    "version": 2
  }
}