Pith Number

pith:JPAMD62J

pith:2019:JPAMD62JE4HPT7T7PX4YC4QGVB

not attested not anchored not stored refs pending

Probing the Hubble Tension with an Infinite-Future Condition on the Hubble Parameter

Cheqiu Lyu, Tong-Jie Zhang, Wei Hong, Yuan-Bo Xie, Zhiyuan Mo

arxiv:1905.13431 v3 · 2019-05-31 · 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{JPAMD62JE4HPT7T7PX4YC4QGVB}

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	2026-06-05T01:14:23.195146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc0c1fb49270ef9fe7f7df9817206a85ab62e60c477014fb8d4dbdbc5cbccf5

Aliases

arxiv: 1905.13431 · arxiv_version: 1905.13431v3 · doi: 10.48550/arxiv.1905.13431 · pith_short_12: JPAMD62JE4HP · pith_short_16: JPAMD62JE4HPT7T7 · pith_short_8: JPAMD62J

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/JPAMD62JE4HPT7T7PX4YC4QGVB \
  | 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: 4bc0c1fb49270ef9fe7f7df9817206a85ab62e60c477014fb8d4dbdbc5cbccf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f1db5c64f3e41b56f6344a97847e73466bfdcce1dcac5f83d66b3f8d87baa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-05-31T06:11:21Z",
    "title_canon_sha256": "1f977417707a782ad9e4902c4a38da66c35b6d524379bc4cf62639a3e9d8862c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13431",
    "kind": "arxiv",
    "version": 3
  }
}