Pith Number

pith:PZLK65CI

pith:2014:PZLK65CI4TNHLTY6DI4QUHY5L5

not attested not anchored not stored refs pending

Cosmology with Coupled Gravity and Dark Energy

Ti-Pei Li

arxiv:1409.0782 v4 · 2014-09-01 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZLK65CI4TNHLTY6DI4QUHY5L5}

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	2026-05-18T02:29:31.820300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e56af7448e4da75cf1e1a390a1f1d5f51a1a90ef23c2011f928b317181d4af2

Aliases

arxiv: 1409.0782 · arxiv_version: 1409.0782v4 · doi: 10.48550/arxiv.1409.0782 · pith_short_12: PZLK65CI4TNH · pith_short_16: PZLK65CI4TNHLTY6 · pith_short_8: PZLK65CI

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/PZLK65CI4TNHLTY6DI4QUHY5L5 \
  | 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: 7e56af7448e4da75cf1e1a390a1f1d5f51a1a90ef23c2011f928b317181d4af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41bda771278db4edbce6e9e551b49e73565a23b4200a13cefcee35d038077b82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2014-09-01T14:23:16Z",
    "title_canon_sha256": "e2a3b45a326127e8d166a30e1882d7be4117672399bf9110c691aaff90a99874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0782",
    "kind": "arxiv",
    "version": 4
  }
}