Pith Number

pith:67GBD462

pith:2011:67GBD462Y4GDIMDP5COMHSMINA

not attested not anchored not stored refs pending

Crossing $w=-1$ by a single scalar field coupling with matter and the observational constraints

Ming-lei Tong, Yang Zhang, Zheng-Wen Fu

arxiv:1101.5199 v2 · 2011-01-27 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67GBD462Y4GDIMDP5COMHSMINA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:22:49.284746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cc11f3dac70c34306fe89cc3c9886800705a8c1e95de0ae93e3a457503b414

Aliases

arxiv: 1101.5199 · arxiv_version: 1101.5199v2 · doi: 10.48550/arxiv.1101.5199 · pith_short_12: 67GBD462Y4GD · pith_short_16: 67GBD462Y4GDIMDP · pith_short_8: 67GBD462

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/67GBD462Y4GDIMDP5COMHSMINA \
  | 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: f7cc11f3dac70c34306fe89cc3c9886800705a8c1e95de0ae93e3a457503b414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ebcd5a249fb4996637b6ef796ab0ac9e631ba97a7367d1e38254ea6df1a15eb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-27T02:50:56Z",
    "title_canon_sha256": "a8621d179f55bf644ded4227719bbbd3e50511114e93bce340db773914f20ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5199",
    "kind": "arxiv",
    "version": 2
  }
}