Pith Number

pith:Q4ZRFHZI

pith:2016:Q4ZRFHZIOY6PCXBQCN2W5DNZSM

not attested not anchored not stored refs pending

On the relativistic mass function and averaging in cosmology

Boudewijn F. Roukema, Jan J. Ostrowski, Thomas Buchert

arxiv:1602.00302 v1 · 2016-01-31 · 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{Q4ZRFHZIOY6PCXBQCN2W5DNZSM}

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	2026-05-18T00:27:22.409587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8733129f28763cf15c3013756e8db99319d8f3688cfaa3802af58c7c99e3b4bc

Aliases

arxiv: 1602.00302 · arxiv_version: 1602.00302v1 · doi: 10.48550/arxiv.1602.00302 · pith_short_12: Q4ZRFHZIOY6P · pith_short_16: Q4ZRFHZIOY6PCXBQ · pith_short_8: Q4ZRFHZI

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/Q4ZRFHZIOY6PCXBQCN2W5DNZSM \
  | 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: 8733129f28763cf15c3013756e8db99319d8f3688cfaa3802af58c7c99e3b4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fd6cd34658b0f313f12e1a56613c973580e43dda385be92bed7b6496550949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-01-31T19:12:55Z",
    "title_canon_sha256": "74ce9733873faeebc493ea1e7bfd89d2e6d4958bd3dce12fdf8be78eca8ed3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00302",
    "kind": "arxiv",
    "version": 1
  }
}