Pith Number

pith:ZQQX2VYN

pith:2004:ZQQX2VYNRIJVDVPGF6VN6S2NYS

not attested not anchored not stored refs pending

Cosmological perturbations and noncommutative tachyon inflation

Dao-jun Liu, Xin-zhou Li

arxiv:astro-ph/0402063 v1 · 2004-02-03 · 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{ZQQX2VYNRIJVDVPGF6VN6S2NYS}

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	2026-07-04T16:42:57.513991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc217d570d8a1351d5e62faadf4b4dc48df19d08bf56e9787c1f7bb0bf764b93

Aliases

arxiv: astro-ph/0402063 · arxiv_version: astro-ph/0402063v1 · doi: 10.48550/arxiv.astro-ph/0402063 · pith_short_12: ZQQX2VYNRIJV · pith_short_16: ZQQX2VYNRIJVDVPG · pith_short_8: ZQQX2VYN

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/ZQQX2VYNRIJVDVPGF6VN6S2NYS \
  | 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: cc217d570d8a1351d5e62faadf4b4dc48df19d08bf56e9787c1f7bb0bf764b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22635a31f4389127b03bc03fb19b7921842b1c9069aaef0407adc65a2cefdc5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-02-03T06:46:33Z",
    "title_canon_sha256": "188a58725db5901fc1103ee3f9881cd9d0e0a77048b712722d29f9ba523b09df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0402063",
    "kind": "arxiv",
    "version": 1
  }
}