Pith Number

pith:5WVKCJSM

pith:2023:5WVKCJSMDIC6EFQIUFT6OMVP56

not attested not anchored not stored refs pending

Decoupling between gravitationally bounded systems and the cosmic expansion

Yi Wang, Zun Wang

arxiv:2304.01059 v1 · 2023-04-03 · 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{5WVKCJSMDIC6EFQIUFT6OMVP56}

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	2026-07-05T05:57:26.097405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edaaa1264c1a05e21608a167e732afef839150d819b1a0c3812dc0509c4638b9

Aliases

arxiv: 2304.01059 · arxiv_version: 2304.01059v1 · doi: 10.48550/arxiv.2304.01059 · pith_short_12: 5WVKCJSMDIC6 · pith_short_16: 5WVKCJSMDIC6EFQI · pith_short_8: 5WVKCJSM

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/5WVKCJSMDIC6EFQIUFT6OMVP56 \
  | 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: edaaa1264c1a05e21608a167e732afef839150d819b1a0c3812dc0509c4638b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aed2dfc9810f42aef9a0dc243d25a8a86eff3e345bf6a33168a269f4413d88fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-04-03T15:07:26Z",
    "title_canon_sha256": "44d469260e1fb338618345ae1c62006ced14ac378c9cc1ad3b8b2eb052a0871c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01059",
    "kind": "arxiv",
    "version": 1
  }
}