Pith Number

pith:2VMXKZI3

pith:2010:2VMXKZI3PBLDQUEJHPYBER7S5E

not attested not anchored not stored refs pending

Cosmological Evolution of Quintessence and Phantom with a New Type of Interaction in Dark Sector

Hao Wei

arxiv:1008.4968 v3 · 2010-08-29 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VMXKZI3PBLDQUEJHPYBER7S5E}

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	2026-05-18T04:31:21.054522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55975651b78563850893bf01247f2e92c81f637095e7e1c2da6c1aaed8efec3

Aliases

arxiv: 1008.4968 · arxiv_version: 1008.4968v3 · doi: 10.48550/arxiv.1008.4968 · pith_short_12: 2VMXKZI3PBLD · pith_short_16: 2VMXKZI3PBLDQUEJ · pith_short_8: 2VMXKZI3

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/2VMXKZI3PBLDQUEJHPYBER7S5E \
  | 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: d55975651b78563850893bf01247f2e92c81f637095e7e1c2da6c1aaed8efec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5588f6ef9fd3cd111badf8902286865d0cd3f907f0d47cc4095a11c952999d49",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-29T22:36:00Z",
    "title_canon_sha256": "bf418fc8b4d79bd2d23b1e1bf7e385965cd968f86c7c3216f41bc981c2d2418f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4968",
    "kind": "arxiv",
    "version": 3
  }
}