Pith Number

pith:N7RXG2DI

pith:2012:N7RXG2DIF2UGKODMLAIHPODDZO

not attested not anchored not stored refs pending

Modified Gravity Spins Up Galactic Halos

Baojiu Li (Durham, Cambridge), Gong-Bo Zhao (Portsmouth), Jounghun Lee (Seoul Nat'l U.), Kazuya Koyama (Portsmouth)

arxiv:1204.6608 v2 · 2012-04-30 · 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{N7RXG2DIF2UGKODMLAIHPODDZO}

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	2026-05-18T01:57:42.421925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe37368682ea865386c581077b863cb827ad776ea9fd40aba0b1db64f3cd5eb

Aliases

arxiv: 1204.6608 · arxiv_version: 1204.6608v2 · doi: 10.48550/arxiv.1204.6608 · pith_short_12: N7RXG2DIF2UG · pith_short_16: N7RXG2DIF2UGKODM · pith_short_8: N7RXG2DI

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/N7RXG2DIF2UGKODMLAIHPODDZO \
  | 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: 6fe37368682ea865386c581077b863cb827ad776ea9fd40aba0b1db64f3cd5eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d5169d3348e41f5482903bb464d7a2f862754c3529d2cb1f8ba6c86e1f6db9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-30T12:00:04Z",
    "title_canon_sha256": "7f5e1e74c540bbb31cffdb6c918c74ef4773ca452e67f55c12b3d50981e37113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6608",
    "kind": "arxiv",
    "version": 2
  }
}