Pith Number

pith:XDIT44TE

pith:2017:XDIT44TEVO4LNQKJZTKNT6MPLB

not attested not anchored not stored refs pending

Gravitational Redshifts in Clusters and Voids

Ayumu Terukina, Chiaki Hikage, Daiki Sakuma, Kazuhiro Yamamoto

arxiv:1709.05756 v2 · 2017-09-18 · 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{XDIT44TEVO4LNQKJZTKNT6MPLB}

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	2026-05-18T00:20:38.985223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d13e7264abb8b6c149ccd4d9f98f584aa44517043961a3bd22f30c21053a99

Aliases

arxiv: 1709.05756 · arxiv_version: 1709.05756v2 · doi: 10.48550/arxiv.1709.05756 · pith_short_12: XDIT44TEVO4L · pith_short_16: XDIT44TEVO4LNQKJ · pith_short_8: XDIT44TE

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/XDIT44TEVO4LNQKJZTKNT6MPLB \
  | 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: b8d13e7264abb8b6c149ccd4d9f98f584aa44517043961a3bd22f30c21053a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d8f33dbfc51d6473a21e10dab41951765d76c0671015ce4414d4f824e9d094",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-09-18T03:08:38Z",
    "title_canon_sha256": "53a632347b89554bc9b2d95be3f400cb3cab5bbdbf89b9b8a405c6f745067eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05756",
    "kind": "arxiv",
    "version": 2
  }
}