Pith Number

pith:45OZGR7O

pith:2017:45OZGR7OPY34BOLK36FHWEO6T3

not attested not anchored not stored refs pending

Machine Learning Cosmic Expansion History

Deng Wang, Wei Zhang

arxiv:1712.09208 v1 · 2017-12-26 · astro-ph.CO · astro-ph.HE · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45OZGR7OPY34BOLK36FHWEO6T3}

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	2026-05-18T00:27:14.191936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75d9347ee7e37c0b96adf8a7b11de9ed3d1df2f5fd629e4b7c56e373afb5c28

Aliases

arxiv: 1712.09208 · arxiv_version: 1712.09208v1 · doi: 10.48550/arxiv.1712.09208 · pith_short_12: 45OZGR7OPY34 · pith_short_16: 45OZGR7OPY34BOLK · pith_short_8: 45OZGR7O

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/45OZGR7OPY34BOLK36FHWEO6T3 \
  | 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: e75d9347ee7e37c0b96adf8a7b11de9ed3d1df2f5fd629e4b7c56e373afb5c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7d2f5ac36de0c41367c60df32af5a8cce44db789ae3c2e18c859305483b2eb",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-12-26T08:37:39Z",
    "title_canon_sha256": "5ddc01baba4360ff30b939313bbf73d0ab0859b4deafcd9311911258b3f45a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09208",
    "kind": "arxiv",
    "version": 1
  }
}