Pith Number

pith:4MBDVQ6C

pith:2006:4MBDVQ6CYYW5H3K6ZYOHWGRDLH

not attested not anchored not stored refs pending

Cosmic Duality in Quintom Universe

Hong Li, Xinmin Zhang, Yi-Fu Cai, Yun-Song Piao

arxiv:gr-qc/0609039 v5 · 2006-09-12 · gr-qc · 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{4MBDVQ6CYYW5H3K6ZYOHWGRDLH}

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.

Cited by

1 paper in Pith

Averaging Dynamics of Scalar Field-Matter Interacting Models in Anisotropic Universes: The Locally Rotationally Symmetric Bianchi I Spacetime

Receipt and verification

First computed	2026-07-04T15:19:20.441551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3023ac3c2c62dd3ed5ece1c7b1a2359f1c178ae193664f9e32c954d86fb3da1

Aliases

arxiv: gr-qc/0609039 · arxiv_version: gr-qc/0609039v5 · doi: 10.48550/arxiv.gr-qc/0609039 · pith_short_12: 4MBDVQ6CYYW5 · pith_short_16: 4MBDVQ6CYYW5H3K6 · pith_short_8: 4MBDVQ6C

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/4MBDVQ6CYYW5H3K6ZYOHWGRDLH \
  | 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: e3023ac3c2c62dd3ed5ece1c7b1a2359f1c178ae193664f9e32c954d86fb3da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f550f546bb7b2561bf37dd3a21ec410c2cb8a49be3d937ef091f353d4ff47f",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-09-12T09:58:51Z",
    "title_canon_sha256": "ecc548d6b5b8f3f2d051c122936007f8ec97fa44df55054c94548ead77922c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0609039",
    "kind": "arxiv",
    "version": 5
  }
}