Pith Number

pith:T6AKN6RB

pith:2010:T6AKN6RBHPR5DM4RANWFKONXRE

not attested not anchored not stored refs pending

Dark Energy Perturbations Revisited

Hong Li, Mingzhe Li, Robert Brandenberger, Xinmin Zhang, Yifu Cai

arxiv:1008.1684 v1 · 2010-08-10 · astro-ph.CO · gr-qc · 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{T6AKN6RBHPR5DM4RANWFKONXRE}

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	2026-05-18T02:05:49.853126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f80a6fa213be3d1b391036c5539b78929a2814a8f18d5627cea4bf19e1866ca

Aliases

arxiv: 1008.1684 · arxiv_version: 1008.1684v1 · doi: 10.48550/arxiv.1008.1684 · pith_short_12: T6AKN6RBHPR5 · pith_short_16: T6AKN6RBHPR5DM4R · pith_short_8: T6AKN6RB

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/T6AKN6RBHPR5DM4RANWFKONXRE \
  | 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: 9f80a6fa213be3d1b391036c5539b78929a2814a8f18d5627cea4bf19e1866ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2880fd35bfd6ffe0160b59bb95678cd7e9d55c804e670073ef296eecc6183286",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-08-10T10:43:40Z",
    "title_canon_sha256": "6c9c33f6a832a0a56a07089fbc0563bd4f26375c206e6ef733d74f49980c272e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1684",
    "kind": "arxiv",
    "version": 1
  }
}