Pith Number

pith:UM2RR4IG

pith:2017:UM2RR4IGFSJHXS3C2TLBW7HBTC

not attested not anchored not stored refs pending

Reconstructing the Cosmic Expansion History with a Monotonicity Prior

Hu Zhan, Yeuk-Kwan Edna Cheung, Youhua Xu

arxiv:1710.02947 v3 · 2017-10-09 · 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{UM2RR4IGFSJHXS3C2TLBW7HBTC}

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	2026-05-18T00:18:53.214683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33518f1062c927bcb62d4d61b7ce1988b2abab8dc4c8219ecbfd4614a778da7

Aliases

arxiv: 1710.02947 · arxiv_version: 1710.02947v3 · doi: 10.48550/arxiv.1710.02947 · pith_short_12: UM2RR4IGFSJH · pith_short_16: UM2RR4IGFSJHXS3C · pith_short_8: UM2RR4IG

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/UM2RR4IGFSJHXS3C2TLBW7HBTC \
  | 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: a33518f1062c927bcb62d4d61b7ce1988b2abab8dc4c8219ecbfd4614a778da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80820d249fe1aee671cc06248ae625c1eb190f0a4bdda03f1da83c8ba8564fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-10-09T06:02:59Z",
    "title_canon_sha256": "22231853948196b801f88de9a8f7805c36085d0a700d0d237743683e97a79919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02947",
    "kind": "arxiv",
    "version": 3
  }
}