Pith Number

pith:YLWTXCGT

pith:2010:YLWTXCGTHMSF3FPJPA6GAZ3UZY

not attested not anchored not stored refs pending

Phantom Inflation with A Steplike Potential

Jun Zhang, Yun-Song Piao, Zhi-Guo Liu

arxiv:1012.0673 v2 · 2010-12-03 · 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{YLWTXCGTHMSF3FPJPA6GAZ3UZY}

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	2026-05-18T02:23:16.295910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ed3b88d33b245d95e9783c606774ce1ba6b8a391eae2dc92dd9e6886b7eec5

Aliases

arxiv: 1012.0673 · arxiv_version: 1012.0673v2 · doi: 10.48550/arxiv.1012.0673 · pith_short_12: YLWTXCGTHMSF · pith_short_16: YLWTXCGTHMSF3FPJ · pith_short_8: YLWTXCGT

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/YLWTXCGTHMSF3FPJPA6GAZ3UZY \
  | 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: c2ed3b88d33b245d95e9783c606774ce1ba6b8a391eae2dc92dd9e6886b7eec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c241d6e11e5320a43579fcbc91f03591e9790631356ea61a7136ed631297572",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-03T09:31:22Z",
    "title_canon_sha256": "fe9ea439e292007384070d52dbedc39bf3d8ffaad3469edef6a6124cfaa812ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0673",
    "kind": "arxiv",
    "version": 2
  }
}