Pith Number

pith:22XUMC2E

pith:2000:22XUMC2ENKZSAKHHO2SZRKYCUV

not attested not anchored not stored refs pending

The scaling evolution of cosmological constant

Ilya L. Shapiro, Joan Sola

arxiv:hep-th/0012227 v3 · 2000-12-22 · hep-th · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22XUMC2ENKZSAKHHO2SZRKYCUV}

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

3 papers in Pith

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy

In the Realm of the Hubble tension $-$ a Review of Solutions

QCD-driven dark matter: AQNs formation and observational tests

Receipt and verification

First computed	2026-07-04T16:21:09.354795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6af460b446ab32028e776a598ab02a54e4239a1f63a24cbf96989acd4caf9ef

Aliases

arxiv: hep-th/0012227 · arxiv_version: hep-th/0012227v3 · doi: 10.48550/arxiv.hep-th/0012227 · pith_short_12: 22XUMC2ENKZS · pith_short_16: 22XUMC2ENKZSAKHH · pith_short_8: 22XUMC2E

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/22XUMC2ENKZSAKHHO2SZRKYCUV \
  | 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: d6af460b446ab32028e776a598ab02a54e4239a1f63a24cbf96989acd4caf9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5277f5794d75ea0b4ed91cf580adb1b2982abf0ed65d9949ef5f475a2b4ac49a",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-22T14:52:16Z",
    "title_canon_sha256": "f9a419393e8e684919c7dc32bb37905d87f1a099feaa7d8a277b92d12d8e4eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012227",
    "kind": "arxiv",
    "version": 3
  }
}