Pith Number

pith:HCFJFCL4

pith:2010:HCFJFCL4NWMCK2YIRFKSBKZBYB

not attested not anchored not stored refs pending

Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter

Jorge P\'aramos, Orfeu Bertolami

arxiv:1003.1875 v1 · 2010-03-09 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCFJFCL4NWMCK2YIRFKSBKZBYB}

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	2026-05-18T02:08:35.993994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388a92897c6d98256b08895520ab21c0781cab6caa446845351a3426fdf16724

Aliases

arxiv: 1003.1875 · arxiv_version: 1003.1875v1 · doi: 10.48550/arxiv.1003.1875 · pith_short_12: HCFJFCL4NWMC · pith_short_16: HCFJFCL4NWMCK2YI · pith_short_8: HCFJFCL4

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/HCFJFCL4NWMCK2YIRFKSBKZBYB \
  | 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: 388a92897c6d98256b08895520ab21c0781cab6caa446845351a3426fdf16724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a1314e60b020b5f026be2f22de9a84790196e86ebace0951465daae834e3d38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2010-03-09T14:05:06Z",
    "title_canon_sha256": "717905394e714b75509f03f14b5b94a9804a6642b0681736ac7054ab57875300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1875",
    "kind": "arxiv",
    "version": 1
  }
}