Pith Number

pith:46OHP3HR

pith:2016:46OHP3HRUVPKXP5RGS4O2NGROE

not attested not anchored not stored refs pending

The origin of the mass discrepancy-acceleration relation in $\Lambda$CDM

Aaron D. Ludlow, Alejandro Ben\'itez-Llambay, Azadeh Fattahi, Carlos S. Frenk, Julio F. Navarro, Kyle A. Oman, Matthieu Schaller, Tom Theuns

arxiv:1612.06329 v3 · 2016-12-19 · astro-ph.GA · 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{46OHP3HRUVPKXP5RGS4O2NGROE}

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	2026-05-18T00:38:30.657411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79c77ecf1a55eabbfb134b8ed34d1713101bbaf596f1205f95c967f7d150579

Aliases

arxiv: 1612.06329 · arxiv_version: 1612.06329v3 · doi: 10.48550/arxiv.1612.06329 · pith_short_12: 46OHP3HRUVPK · pith_short_16: 46OHP3HRUVPKXP5R · pith_short_8: 46OHP3HR

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/46OHP3HRUVPKXP5RGS4O2NGROE \
  | 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: e79c77ecf1a55eabbfb134b8ed34d1713101bbaf596f1205f95c967f7d150579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1697ad3e46161bbfd726db8eb14afb0f1367ef86d2af8b6642d204a77f08b436",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-12-19T20:05:21Z",
    "title_canon_sha256": "d856d5fbf77e537443274168d9a3a81958d2a6bdbdb145fbce11766ffce3cf3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06329",
    "kind": "arxiv",
    "version": 3
  }
}