Pith Number

pith:4TRNNBV2

pith:2004:4TRNNBV2BLFWKN7FKFRBOLZWRH

not attested not anchored not stored refs pending

The Evolution of Universe with th B-I Type Phantom Scalar Field

H.Q.Lu, K.F.Zhang, Wei Fang, Z.G.Huang

arxiv:hep-th/0409080 v4 · 2004-09-07 · hep-th · 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{4TRNNBV2BLFWKN7FKFRBOLZWRH}

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	2026-07-04T14:48:59.782071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e2d686ba0acb6537e55162172f3689c9a185cf9f40fce98b0aca94fada8736

Aliases

arxiv: hep-th/0409080 · arxiv_version: hep-th/0409080v4 · doi: 10.48550/arxiv.hep-th/0409080 · pith_short_12: 4TRNNBV2BLFW · pith_short_16: 4TRNNBV2BLFWKN7F · pith_short_8: 4TRNNBV2

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/4TRNNBV2BLFWKN7FKFRBOLZWRH \
  | 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: e4e2d686ba0acb6537e55162172f3689c9a185cf9f40fce98b0aca94fada8736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc6fee468b38afb41950dfe0e195949016747c4ce7a07d64b6266aa5fe6770b",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-07T14:18:29Z",
    "title_canon_sha256": "d4a875a6aca39f58023185fe0f2b89875c79fcdeb3285ea4896137d95829478f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409080",
    "kind": "arxiv",
    "version": 4
  }
}