Pith Number

pith:7CM3ZULY

pith:2022:7CM3ZULYPYAKI2GS3BIZIPQFJL

not attested not anchored not stored refs pending

Phantom cosmologies from QCD ghost dark energy

Germ\'an E. Soto, Miguel Cruz, Samuel Lepe

arxiv:2209.04584 v2 · 2022-09-10 · 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{7CM3ZULYPYAKI2GS3BIZIPQFJL}

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	2026-07-05T05:16:03.089760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f899bcd1787e00a468d2d851943e054ac9fce0c9aef6947cb7f65c77a8151b75

Aliases

arxiv: 2209.04584 · arxiv_version: 2209.04584v2 · doi: 10.48550/arxiv.2209.04584 · pith_short_12: 7CM3ZULYPYAK · pith_short_16: 7CM3ZULYPYAKI2GS · pith_short_8: 7CM3ZULY

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/7CM3ZULYPYAKI2GS3BIZIPQFJL \
  | 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: f899bcd1787e00a468d2d851943e054ac9fce0c9aef6947cb7f65c77a8151b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66946c7284f67f99a42edb8ac8571fe0d06a8756162c2a57e64ae3706f822579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-09-10T03:36:38Z",
    "title_canon_sha256": "d5970a671614aa063cfcc522285c7c204ff942cc86265e051517aac1cdb222b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.04584",
    "kind": "arxiv",
    "version": 2
  }
}