Pith Number

pith:UVK7NBXJ

pith:2005:UVK7NBXJ7OU655SFYOOERRGKTH

not attested not anchored not stored refs pending

Spherical Collapse Model And Dark Energy(I)

Ding-fang Zeng, Yi-hong Gao

arxiv:astro-ph/0505163 v1 · 2005-05-09 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVK7NBXJ7OU655SFYOOERRGKTH}

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	2026-05-18T01:07:31.362083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a555f686e9fba9eef645c39c48c4ca99c3a3f16cf2f579afbb937cca581d5913

Aliases

arxiv: astro-ph/0505163 · arxiv_version: astro-ph/0505163v1 · doi: 10.48550/arxiv.astro-ph/0505163 · pith_short_12: UVK7NBXJ7OU6 · pith_short_16: UVK7NBXJ7OU655SF · pith_short_8: UVK7NBXJ

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/UVK7NBXJ7OU655SFYOOERRGKTH \
  | 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: a555f686e9fba9eef645c39c48c4ca99c3a3f16cf2f579afbb937cca581d5913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8e014037d7ae8f5712353ec7216342bf073742faaa6e64efbfb060ce26a3ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-05-09T13:34:13Z",
    "title_canon_sha256": "bc2885a7dbee1aa31f65aa8e972b3636166d3302f0df994b535ca7032ffa2a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0505163",
    "kind": "arxiv",
    "version": 1
  }
}