Pith Number

pith:2BOJGH6D

pith:2016:2BOJGH6DNXJJMJGFLJOADNY2RI

not attested not anchored not stored refs pending

Gravitational focusing of Imperfect Dark Matter

Eugeny Babichev, Sabir Ramazanov

arxiv:1609.08580 v3 · 2016-09-27 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BOJGH6DNXJJMJGFLJOADNY2RI}

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

Imperfect dark matter with higher derivatives

Receipt and verification

First computed	2026-05-18T00:52:09.212757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05c931fc36dd29624c55a5c01b71a8a1a6b15d857f7fe6974e5bcb8fd8b05fe

Aliases

arxiv: 1609.08580 · arxiv_version: 1609.08580v3 · doi: 10.48550/arxiv.1609.08580 · pith_short_12: 2BOJGH6DNXJJ · pith_short_16: 2BOJGH6DNXJJMJGF · pith_short_8: 2BOJGH6D

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/2BOJGH6DNXJJMJGFLJOADNY2RI \
  | 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: d05c931fc36dd29624c55a5c01b71a8a1a6b15d857f7fe6974e5bcb8fd8b05fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9637b1827f7d2449a3918f057bca282edfdc688cea376ff82d2a95a3853b7c01",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-27T19:01:22Z",
    "title_canon_sha256": "c04ceceb322fedab95f42d7a4d61b66b6937ef304313c409ca0d60a5013f7490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08580",
    "kind": "arxiv",
    "version": 3
  }
}