Pith Number

pith:U6VWXAFV

pith:2012:U6VWXAFVPCW3WXXNB3B5I6ZOXF

not attested not anchored not stored refs pending

Dark Matter with Density-Dependent Interactions

Kimberly K. Boddy, Mark Trodden, Sean M. Carroll

arxiv:1208.4376 v3 · 2012-08-21 · astro-ph.CO · hep-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{U6VWXAFVPCW3WXXNB3B5I6ZOXF}

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	2026-05-18T02:21:00.858592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ab6b80b578adbb5eed0ec3d47b2eb964887dcd2d90c88ce20e6cda39c8b0e5

Aliases

arxiv: 1208.4376 · arxiv_version: 1208.4376v3 · doi: 10.48550/arxiv.1208.4376 · pith_short_12: U6VWXAFVPCW3 · pith_short_16: U6VWXAFVPCW3WXXN · pith_short_8: U6VWXAFV

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/U6VWXAFVPCW3WXXNB3B5I6ZOXF \
  | 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: a7ab6b80b578adbb5eed0ec3d47b2eb964887dcd2d90c88ce20e6cda39c8b0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac3187e9f409566c2f15a3d8283e1ad79df62d0d8166be5148a4739b4b8bdc8",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-08-21T20:24:52Z",
    "title_canon_sha256": "06c5818cc135589a11e33705149f9a4a83c76c3de3470c5799c848f17f39a902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4376",
    "kind": "arxiv",
    "version": 3
  }
}