Pith Number

pith:EN2DBBKG

pith:2011:EN2DBBKGM3GCAFMKSLVA45CQLP

not attested not anchored not stored refs pending

Alternative mechanism of avoiding the big rip or little rip for a scalar phantom field

Ping Xi, Xiang-Hua Zhai, Xin-zhou Li

arxiv:1111.6355 v1 · 2011-11-28 · 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{EN2DBBKGM3GCAFMKSLVA45CQLP}

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	2026-05-18T01:59:23.196598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

237430854666cc20158a92ea0e74505bfa5e452b3ac429fd00534512a03cec74

Aliases

arxiv: 1111.6355 · arxiv_version: 1111.6355v1 · doi: 10.48550/arxiv.1111.6355 · pith_short_12: EN2DBBKGM3GC · pith_short_16: EN2DBBKGM3GCAFMK · pith_short_8: EN2DBBKG

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/EN2DBBKGM3GCAFMKSLVA45CQLP \
  | 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: 237430854666cc20158a92ea0e74505bfa5e452b3ac429fd00534512a03cec74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4b183842076176938859439015ea69edaa81a00cc1da8f4b5ad974e74ae263",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-28T06:43:44Z",
    "title_canon_sha256": "e6f168838081704648232a486d9357049e88f84274f777a88a633fadb3d3c570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6355",
    "kind": "arxiv",
    "version": 1
  }
}