Pith Number

pith:3LHT6E7I

pith:2007:3LHT6E7I2FWM2A5VYBZFOCGMNV

not attested not anchored not stored refs pending

Null Energy Condition and Dark Energy Models

Taotao Qiu, Xin-Min Zhang, Yi-Fu Cai

arxiv:0710.0115 v1 · 2007-09-30 · gr-qc · astro-ph · hep-ph · 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{3LHT6E7I2FWM2A5VYBZFOCGMNV}

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

3 papers in Pith

Natural Phantom Dark Energy from a $\mathbb{Z}_N$--Axion

Evidence for evolving dark energy from DESI DR2 BAO and Pantheon$^+$, DES-Dovekie, and Union3

The Quintom theory of dark energy after DESI DR2

Receipt and verification

First computed	2026-07-04T15:15:26.748780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacf3f13e8d16ccd03b5c0725708cc6d56a82d8d28efea5e5b043668bb402aa3

Aliases

arxiv: 0710.0115 · arxiv_version: 0710.0115v1 · doi: 10.48550/arxiv.0710.0115 · pith_short_12: 3LHT6E7I2FWM · pith_short_16: 3LHT6E7I2FWM2A5V · pith_short_8: 3LHT6E7I

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/3LHT6E7I2FWM2A5VYBZFOCGMNV \
  | 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: dacf3f13e8d16ccd03b5c0725708cc6d56a82d8d28efea5e5b043668bb402aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16948cf8795c8f97279ee8c43fc4311eec9337418e64d388448909ade2ff9a42",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-09-30T08:11:41Z",
    "title_canon_sha256": "6b76538defde1cf342f3937c506d92404830bb128c4ba5307827ed0fbc082602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0115",
    "kind": "arxiv",
    "version": 1
  }
}