Pith Number

pith:LLFTSIBY

pith:2012:LLFTSIBYCDK3EGCLVXNBKJYFUM

not attested not anchored not stored refs pending

Model Independent Early Expansion History and Dark Energy

Eric V. Linder, Johan Samsing, Tristan L. Smith

arxiv:1208.4845 v1 · 2012-08-23 · 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{LLFTSIBYCDK3EGCLVXNBKJYFUM}

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

1 paper in Pith

Geometric Constraints on the Pre-Recombination Expansion History from the Hubble Tension

Receipt and verification

First computed	2026-05-18T03:38:55.724204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5acb39203810d5b2184badda152705a30bc6ac78deed2bdb33b5abc4fdc87b6d

Aliases

arxiv: 1208.4845 · arxiv_version: 1208.4845v1 · doi: 10.48550/arxiv.1208.4845 · pith_short_12: LLFTSIBYCDK3 · pith_short_16: LLFTSIBYCDK3EGCL · pith_short_8: LLFTSIBY

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/LLFTSIBYCDK3EGCLVXNBKJYFUM \
  | 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: 5acb39203810d5b2184badda152705a30bc6ac78deed2bdb33b5abc4fdc87b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e754419cc268464ea74735d4d74f0672a672dc6118c9e5ecdd1e6ffdd8ca08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-08-23T20:00:01Z",
    "title_canon_sha256": "8837745e13097d8b3bbb32331757d186fe957c07d4f1d1fed416a19bc9e689e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4845",
    "kind": "arxiv",
    "version": 1
  }
}