Pith Number

pith:WJUVG42M

pith:2024:WJUVG42MFOS7A2E2VQAYGXHIU2

not attested not anchored not stored refs pending

The imprint of cosmic expansion history on the propagation of gravitational waves

Wen-Biao Han, Ye Jiang

arxiv:2412.15578 v1 · 2024-12-20 · 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{WJUVG42MFOS7A2E2VQAYGXHIU2}

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	2026-07-05T09:52:25.895248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26953734c2ba5f0689aac01835ce8a6b2d1d8f8acf10f4fe6f6ea45853a7b4b

Aliases

arxiv: 2412.15578 · arxiv_version: 2412.15578v1 · doi: 10.48550/arxiv.2412.15578 · pith_short_12: WJUVG42MFOS7 · pith_short_16: WJUVG42MFOS7A2E2 · pith_short_8: WJUVG42M

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/WJUVG42MFOS7A2E2VQAYGXHIU2 \
  | 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: b26953734c2ba5f0689aac01835ce8a6b2d1d8f8acf10f4fe6f6ea45853a7b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76fbb5c7f5bb3fbdba59d1382ad77e407dc306e6ecc9e40d57688b7990bbd584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-20T05:21:41Z",
    "title_canon_sha256": "005a04b976933078a8c797f904a58a00f7d175680a2959b92ebd71dee8ae3547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15578",
    "kind": "arxiv",
    "version": 1
  }
}