Pith Number

pith:VTRZS3GD

pith:2005:VTRZS3GD76DYVAEGPIXMVDNRND

not attested not anchored not stored refs pending

Exponential Cardassian Universe

Chang-bo Sun, Dao-jun Liu, Xin-zhou Li

arxiv:astro-ph/0512355 v2 · 2005-12-14 · 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{VTRZS3GD76DYVAEGPIXMVDNRND}

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	2026-07-04T17:14:43.920269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace3996cc3ff878a80867a2eca8db168d60a334c454b540cb88f5737d33b2960

Aliases

arxiv: astro-ph/0512355 · arxiv_version: astro-ph/0512355v2 · doi: 10.48550/arxiv.astro-ph/0512355 · pith_short_12: VTRZS3GD76DY · pith_short_16: VTRZS3GD76DYVAEG · pith_short_8: VTRZS3GD

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/VTRZS3GD76DYVAEGPIXMVDNRND \
  | 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: ace3996cc3ff878a80867a2eca8db168d60a334c454b540cb88f5737d33b2960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4125f044dfb862656fa80dca180f2c1dddc39f210f24ac9354e3e74791ef44a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-12-14T05:20:28Z",
    "title_canon_sha256": "c2dadaec22eb917cc58d3d23a0e4c62445e2e90469a89c5d04275dd4ac997c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0512355",
    "kind": "arxiv",
    "version": 2
  }
}