Pith Number

pith:T33AN273

pith:2021:T33AN273CABF5PSTR4O3NALSKY

not attested not anchored not stored refs pending

A More Accurate Parameterization based on cosmic Age (MAPAge)

Huan Zhou, Lu Huang, Zhiqi Huang, Zhuoyang Li

arxiv:2108.03959 v1 · 2021-08-09 · astro-ph.CO · astro-ph.GA · gr-qc · 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{T33AN273CABF5PSTR4O3NALSKY}

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

2 papers in Pith

Model-independent test of the cosmic distance duality relation with recent observational data

Cosmological intercept tension

Receipt and verification

First computed	2026-07-05T03:36:10.582383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef606ebfb10025ebe538f1db6817256307c7decb7f463a266917756ef431964

Aliases

arxiv: 2108.03959 · arxiv_version: 2108.03959v1 · doi: 10.48550/arxiv.2108.03959 · pith_short_12: T33AN273CABF · pith_short_16: T33AN273CABF5PST · pith_short_8: T33AN273

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/T33AN273CABF5PSTR4O3NALSKY \
  | 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: 9ef606ebfb10025ebe538f1db6817256307c7decb7f463a266917756ef431964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49e41235361605a3b988d6fc319cdaffa490e460042a24295c32fcb8120cb9c",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-08-09T11:46:47Z",
    "title_canon_sha256": "8df75753048fbadbfef301626feac351c8cee6e4e4d455e7f142eb4c81909896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03959",
    "kind": "arxiv",
    "version": 1
  }
}