Pith Number

pith:MERD7E2X

pith:2011:MERD7E2XOBBAW5EVJPD5A4YLR4

not attested not anchored not stored refs pending

Probing Ricci dark energy model with perturbations by using WMAP seven-year cosmic microwave background measurements, BAO and Type Ia supernovae

Lixin Xu, Yuanxing Gui, Yuting Wang

arxiv:1110.4401 v1 · 2011-10-19 · 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{MERD7E2XOBBAW5EVJPD5A4YLR4}

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	2026-05-18T04:10:36.795446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61223f935770420b74954bc7d0730b8f1e91746f66df35e5f688dbadedddab5f

Aliases

arxiv: 1110.4401 · arxiv_version: 1110.4401v1 · doi: 10.48550/arxiv.1110.4401 · pith_short_12: MERD7E2XOBBA · pith_short_16: MERD7E2XOBBAW5EV · pith_short_8: MERD7E2X

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/MERD7E2XOBBAW5EVJPD5A4YLR4 \
  | 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: 61223f935770420b74954bc7d0730b8f1e91746f66df35e5f688dbadedddab5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d50352e02cee97f395e0fdc889d43c50bf491602613488a8b9f2f974c4e514",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-19T21:07:37Z",
    "title_canon_sha256": "7f769621bb92f1295b31d9bb431fd720f73402aa60fc3bec51cd77935fb6f2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4401",
    "kind": "arxiv",
    "version": 1
  }
}