Pith Number

pith:ECZT2IPX

pith:2010:ECZT2IPXHWVQQEKLCQSXMPC7ZK

not attested not anchored not stored refs pending

Crossing the phantom divide with Ricci-like holographic dark energy

Francisco Pena, Samuel Lepe

arxiv:1005.2180 v3 · 2010-05-12 · hep-th · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECZT2IPXHWVQQEKLCQSXMPC7ZK}

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	2026-05-18T02:33:26.508486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b33d21f73dab08114b1425763c5fca995e55a27f3c47dd0802014c2b010be2

Aliases

arxiv: 1005.2180 · arxiv_version: 1005.2180v3 · doi: 10.48550/arxiv.1005.2180 · pith_short_12: ECZT2IPXHWVQ · pith_short_16: ECZT2IPXHWVQQEKL · pith_short_8: ECZT2IPX

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/ECZT2IPXHWVQQEKLCQSXMPC7ZK \
  | 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: 20b33d21f73dab08114b1425763c5fca995e55a27f3c47dd0802014c2b010be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf469a4e1faa1ebc47e23e0c30c37b9239e66531c6d056127d86f39d0f154677",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-05-12T19:54:45Z",
    "title_canon_sha256": "02ca3a23caa438e1067aaf257c76e42ba89bf5bedbdd52a79f588c322f12cecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2180",
    "kind": "arxiv",
    "version": 3
  }
}