Pith Number

pith:5B4U6R53

pith:2005:5B4U6R53LMKDAJRR44ZEU7XKTL

not attested not anchored not stored refs pending

Dark energy and the future fate of the Universe

Yuan-Zhong Zhang, Yungui Gong

arxiv:gr-qc/0508053 v3 · 2005-08-12 · gr-qc · astro-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{5B4U6R53LMKDAJRR44ZEU7XKTL}

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	2026-05-18T04:38:36.914030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8794f47bb5b14302631e7324a7eea9ad93e4803540200ea36a7fe4fc62c7fe4

Aliases

arxiv: gr-qc/0508053 · arxiv_version: gr-qc/0508053v3 · doi: 10.48550/arxiv.gr-qc/0508053 · pith_short_12: 5B4U6R53LMKD · pith_short_16: 5B4U6R53LMKDAJRR · pith_short_8: 5B4U6R53

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/5B4U6R53LMKDAJRR44ZEU7XKTL \
  | 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: e8794f47bb5b14302631e7324a7eea9ad93e4803540200ea36a7fe4fc62c7fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07723ca2929c6f99a0f75d2412ba19b1a472b4b36062bb4d60b79d73727fb3bb",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-08-12T14:53:09Z",
    "title_canon_sha256": "589d77fdb832cb0fcb089c2eef0c7246d783e67c3b11e55fd6a7f07f8fcf3f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0508053",
    "kind": "arxiv",
    "version": 3
  }
}