Pith Number

pith:TATD2PJ6

pith:2011:TATD2PJ662F4LABLCBT537L7Q5

not attested not anchored not stored refs pending

Gravitational redshift of galaxies in clusters as predicted by general relativity

Jens Hjorth, Radoslaw Wojtak, Steen H. Hansen

arxiv:1109.6571 v1 · 2011-09-29 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TATD2PJ662F4LABLCBT537L7Q5}

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	2026-05-18T04:12:01.312611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98263d3d3ef68bc5802b1067ddfd7f876cae03ab4f41e4948e03145f8f79f1bf

Aliases

arxiv: 1109.6571 · arxiv_version: 1109.6571v1 · doi: 10.48550/arxiv.1109.6571 · pith_short_12: TATD2PJ662F4 · pith_short_16: TATD2PJ662F4LABL · pith_short_8: TATD2PJ6

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/TATD2PJ662F4LABLCBT537L7Q5 \
  | 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: 98263d3d3ef68bc5802b1067ddfd7f876cae03ab4f41e4948e03145f8f79f1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d4a74c1fe99382193f520dcc56bbecc6b9a055a4f8221eb8e67e86a9b1f31b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-29T15:59:38Z",
    "title_canon_sha256": "33ab7256601fa2fa0a37a2150ef71ba35792484c1f1ce894abdd36e8d11ada01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6571",
    "kind": "arxiv",
    "version": 1
  }
}