Pith Number

pith:PZYFSD3F

pith:2013:PZYFSD3FWCNCNCLLRCN7RYUWKZ

not attested not anchored not stored refs pending

Evolution of gravity-dark energy coupled expanding universe

Mei Wu, Ti-Pei Li

arxiv:1303.6568 v1 · 2013-03-26 · 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{PZYFSD3FWCNCNCLLRCN7RYUWKZ}

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	2026-05-18T02:41:09.108781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e70590f65b09a26896b889bf8e29656733a4b5e2050cd3f2c6bb1a42169e807

Aliases

arxiv: 1303.6568 · arxiv_version: 1303.6568v1 · doi: 10.48550/arxiv.1303.6568 · pith_short_12: PZYFSD3FWCNC · pith_short_16: PZYFSD3FWCNCNCLL · pith_short_8: PZYFSD3F

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/PZYFSD3FWCNCNCLLRCN7RYUWKZ \
  | 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: 7e70590f65b09a26896b889bf8e29656733a4b5e2050cd3f2c6bb1a42169e807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1083c3c1a62d67a46c50c03127fcc9a862a664973c19ea0f9e585b2e65338e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-03-26T17:46:54Z",
    "title_canon_sha256": "3c7ed463875265390ef39b83c00036dbfd574dd824e54968170b9221c24cd565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6568",
    "kind": "arxiv",
    "version": 1
  }
}