Pith Number

pith:SWITLWRG

pith:2019:SWITLWRGEH6G7GA3THG2BHMDHL

not attested not anchored not stored refs pending

A gigaparsec-scale local void and the Hubble tension

Qianhang Ding, Tomohiro Nakama, Yi Wang

arxiv:1912.12600 v1 · 2019-12-29 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWITLWRGEH6G7GA3THG2BHMDHL}

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	2026-07-05T03:02:06.932282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959135da2621fc6f981b99cda09d833acd2fa275f337d06fcb709077c1620100

Aliases

arxiv: 1912.12600 · arxiv_version: 1912.12600v1 · doi: 10.48550/arxiv.1912.12600 · pith_short_12: SWITLWRGEH6G · pith_short_16: SWITLWRGEH6G7GA3 · pith_short_8: SWITLWRG

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/SWITLWRGEH6G7GA3THG2BHMDHL \
  | 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: 959135da2621fc6f981b99cda09d833acd2fa275f337d06fcb709077c1620100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328c6ce0b178d31332704de4b1004a1e10436b78a1747bc0eed7c0ecbd357ff6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-12-29T07:33:52Z",
    "title_canon_sha256": "2fbe3d5088eab5af922b41da4bf760208236196867db4dc298630c4b9d20ea17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12600",
    "kind": "arxiv",
    "version": 1
  }
}