Pith Number

pith:CVMBBNDS

pith:2016:CVMBBNDS5K6MNQR2PJLKBKRML3

not attested not anchored not stored refs pending

Gravitational redshift and asymmetric redshift-space distortions for stacked clusters

2), (2) Durham University, (3) University of Hawaii), Carlos Frenk (2) ((1) University of Edinburgh, Nick Kaiser (3), Shaun Cole (2), Yan-Chuan Cai (1

arxiv:1609.04864 v1 · 2016-09-15 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVMBBNDS5K6MNQR2PJLKBKRML3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:50:09.504278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155810b472eabcc6c23a7a56a0aa2c5ec524bcc74cc8360ac7c32f09804ff38f

Aliases

arxiv: 1609.04864 · arxiv_version: 1609.04864v1 · doi: 10.48550/arxiv.1609.04864 · pith_short_12: CVMBBNDS5K6M · pith_short_16: CVMBBNDS5K6MNQR2 · pith_short_8: CVMBBNDS

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/CVMBBNDS5K6MNQR2PJLKBKRML3 \
  | 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: 155810b472eabcc6c23a7a56a0aa2c5ec524bcc74cc8360ac7c32f09804ff38f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca49ebdaaaee39150d349d6ac351016d1e26a7abab4d5ae503f16d94f5e1fd25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-09-15T21:31:09Z",
    "title_canon_sha256": "3bf965a73be30ff7fff2165a762fd77443634421291ea4110d7084fa74cc11ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04864",
    "kind": "arxiv",
    "version": 1
  }
}