Pith Number

pith:RR4T3PCS

pith:2013:RR4T3PCSR2AKS27PIAF5B6U2AI

not attested not anchored not stored refs pending

New Constraints on the Early Expansion History

Alireza Hojjati, Eric V. Linder, Johan Samsing

arxiv:1304.3724 v2 · 2013-04-12 · 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{RR4T3PCSR2AKS27PIAF5B6U2AI}

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	2026-05-18T03:16:51.069527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c793dbc528e80a96bef400bd0fa9a021e3b4f7dee42c48bfee035db34bbd619

Aliases

arxiv: 1304.3724 · arxiv_version: 1304.3724v2 · doi: 10.48550/arxiv.1304.3724 · pith_short_12: RR4T3PCSR2AK · pith_short_16: RR4T3PCSR2AKS27P · pith_short_8: RR4T3PCS

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/RR4T3PCSR2AKS27PIAF5B6U2AI \
  | 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: 8c793dbc528e80a96bef400bd0fa9a021e3b4f7dee42c48bfee035db34bbd619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecdb660ddf46b2c02445b0644aed903874205d2f8e0251e19816cd02523af4ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-04-12T20:00:01Z",
    "title_canon_sha256": "6a9cfacf4552e55225f35841e004691a7dfafb743b7a89042ce92cdb0a33ea76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3724",
    "kind": "arxiv",
    "version": 2
  }
}