Pith Number

pith:RA4MUZDR

pith:2011:RA4MUZDRD7D5WUO3G3YWM4VJ4F

not attested not anchored not stored refs pending

Viability of the cluster mass function formalism in parametrised modified gravity

Carlo R. Contaldi, Daniel B. Thomas

arxiv:1112.6378 v1 · 2011-12-29 · 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{RA4MUZDRD7D5WUO3G3YWM4VJ4F}

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	2026-05-18T04:05:28.657581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8838ca64711fc7db51db36f16672a9e1408f90203ebe85dadab392783eaa0f9c

Aliases

arxiv: 1112.6378 · arxiv_version: 1112.6378v1 · doi: 10.48550/arxiv.1112.6378 · pith_short_12: RA4MUZDRD7D5 · pith_short_16: RA4MUZDRD7D5WUO3 · pith_short_8: RA4MUZDR

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/RA4MUZDRD7D5WUO3G3YWM4VJ4F \
  | 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: 8838ca64711fc7db51db36f16672a9e1408f90203ebe85dadab392783eaa0f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852770410072565d614cd8e74783064cc7b052d6b0c30bbc4d1216b9892c32dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-29T19:02:15Z",
    "title_canon_sha256": "d46aed520773dc2ac5f76cce2b1b00fac94f12305447ebd65b0f7a72cd28dfa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6378",
    "kind": "arxiv",
    "version": 1
  }
}