Pith Number

pith:F2FBNEEY

pith:2008:F2FBNEEYLAS3LDAJQHVMWBKCJ3

not attested not anchored not stored refs pending

Dark Energy and the Return of the Phoenix Universe

Jean-Luc Lehners, Paul J. Steinhardt

arxiv:0812.3388 v1 · 2008-12-17 · hep-th · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2FBNEEYLAS3LDAJQHVMWBKCJ3}

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

A Safe Beginning for the Universe?

Receipt and verification

First computed	2026-07-04T17:13:55.406300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8a1690985825b58c0981eacb05424ef00027a0d0dab6292c613b5c34b85053

Aliases

arxiv: 0812.3388 · arxiv_version: 0812.3388v1 · doi: 10.48550/arxiv.0812.3388 · pith_short_12: F2FBNEEYLAS3 · pith_short_16: F2FBNEEYLAS3LDAJ · pith_short_8: F2FBNEEY

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/F2FBNEEYLAS3LDAJQHVMWBKCJ3 \
  | 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: 2e8a1690985825b58c0981eacb05424ef00027a0d0dab6292c613b5c34b85053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4edcdeb3bd3cc958b5b9e15c2103ec2db3794dfbf558086660e7efd9c64b861e",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-17T20:56:24Z",
    "title_canon_sha256": "c362f9d5e0ecef188e593d8fa4930b8ddaf27c5175151753996bf2d8295efda6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3388",
    "kind": "arxiv",
    "version": 1
  }
}