Pith Number

pith:NMMZGWJD

pith:2012:NMMZGWJDMIZPA7ULGHVZUUVDNO

not attested not anchored not stored refs pending

Phase Space Dynamics of Non-Gravitational Interactions between Dark Matter and Dark Energy: The Case of Ghost Dark Energy

Israel Quiros, Ricardo Garcia-Salcedo, Tame Gonzalez

arxiv:1211.2738 v2 · 2012-11-12 · gr-qc · 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{NMMZGWJDMIZPA7ULGHVZUUVDNO}

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	2026-05-18T03:40:48.862983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b199359236232f07e8b31eb9a52a36bbc3ea03a049281b49a4c69be82cc5b8e

Aliases

arxiv: 1211.2738 · arxiv_version: 1211.2738v2 · doi: 10.48550/arxiv.1211.2738 · pith_short_12: NMMZGWJDMIZP · pith_short_16: NMMZGWJDMIZPA7UL · pith_short_8: NMMZGWJD

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/NMMZGWJDMIZPA7ULGHVZUUVDNO \
  | 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: 6b199359236232f07e8b31eb9a52a36bbc3ea03a049281b49a4c69be82cc5b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eed41601d37a2f2e5c4952f6eb61a26f82ceafdcfed23ac73d3042fbde16314",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-12T19:14:15Z",
    "title_canon_sha256": "bfaab31b805694277069af117273f3ac71fc29e9e431386c8a2868d1a91401b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2738",
    "kind": "arxiv",
    "version": 2
  }
}