Pith Number

pith:53HB3DK4

pith:2006:53HB3DK4AQOP4AXNLHONXPTVON

not attested not anchored not stored refs pending

Modifying gravity with the Aether: an alternative to Dark Matter

G.D Starkman, P.G Ferreira, T.G Zlosnik

arxiv:astro-ph/0607411 v5 · 2006-07-18 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53HB3DK4AQOP4AXNLHONXPTVON}

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.

Cited by

1 paper in Pith

Dark matter and modified gravity: Einstein clusters from a non-minimally coupled vector field

Receipt and verification

First computed	2026-05-18T02:58:47.283566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eece1d8d5c041cfe02ed59dcdbbe7573506d7fa53f523b82b6475bf66a2f1fe8

Aliases

arxiv: astro-ph/0607411 · arxiv_version: astro-ph/0607411v5 · doi: 10.48550/arxiv.astro-ph/0607411 · pith_short_12: 53HB3DK4AQOP · pith_short_16: 53HB3DK4AQOP4AXN · pith_short_8: 53HB3DK4

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/53HB3DK4AQOP4AXNLHONXPTVON \
  | 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: eece1d8d5c041cfe02ed59dcdbbe7573506d7fa53f523b82b6475bf66a2f1fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff2dfee6632280c664d05b30f35b27b8eed488fc31fb1226762dc1b202de21ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-07-18T12:43:44Z",
    "title_canon_sha256": "704b033810640b8ea0f88304698e0e1fa5d9bb6381d562bb9247d654fa0dd4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0607411",
    "kind": "arxiv",
    "version": 5
  }
}