Pith Number

pith:ILMPRNQ4

pith:2009:ILMPRNQ4IOMFWLXI2LG2EQ6FLU

not attested not anchored not stored refs pending

Signature of the interaction between dark energy and dark matter in observations

Elcio Abdalla, Jose C. C. de Souza, L. Raul Abramo

arxiv:0910.5236 v3 · 2009-10-27 · gr-qc · astro-ph.CO · hep-ph · 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{ILMPRNQ4IOMFWLXI2LG2EQ6FLU}

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

Testing the Dark Universe through the Layzer-Irvine Equation

Receipt and verification

First computed	2026-05-18T02:34:12.704233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d8f8b61c43985b2ee8d2cda243c55d177c01549a8d3bfbcae16355a7f2521c

Aliases

arxiv: 0910.5236 · arxiv_version: 0910.5236v3 · doi: 10.48550/arxiv.0910.5236 · pith_short_12: ILMPRNQ4IOMF · pith_short_16: ILMPRNQ4IOMFWLXI · pith_short_8: ILMPRNQ4

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/ILMPRNQ4IOMFWLXI2LG2EQ6FLU \
  | 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: 42d8f8b61c43985b2ee8d2cda243c55d177c01549a8d3bfbcae16355a7f2521c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958870cec32703604ffc5a6f3cc88e8f75e6b4d4f36cb4dcce05b52e09fe4a53",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-10-27T20:37:10Z",
    "title_canon_sha256": "cdb4f534cb4e2dd8087b2ca229aad8deedb3e5ad8f5b67c4578e258db5d3b1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5236",
    "kind": "arxiv",
    "version": 3
  }
}