Pith Number

pith:54BCOLPB

pith:2016:54BCOLPBVRZOKRTCPWXQJYUCVK

not attested not anchored not stored refs pending

A Universe Without Dark Energy: Cosmic Acceleration from Dark Matter-Baryon Interactions

Junpu Wang, Justin Khoury, Lasha Berezhiani

arxiv:1612.00453 v1 · 2016-12-01 · hep-th · astro-ph.CO · gr-qc · hep-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{54BCOLPBVRZOKRTCPWXQJYUCVK}

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	2026-05-18T00:41:25.579540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef02272de1ac72e546627daf04e282aaacc05d90e94ed43412fb4a4806499951

Aliases

arxiv: 1612.00453 · arxiv_version: 1612.00453v1 · doi: 10.48550/arxiv.1612.00453 · pith_short_12: 54BCOLPBVRZO · pith_short_16: 54BCOLPBVRZOKRTC · pith_short_8: 54BCOLPB

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/54BCOLPBVRZOKRTCPWXQJYUCVK \
  | 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: ef02272de1ac72e546627daf04e282aaacc05d90e94ed43412fb4a4806499951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c74645bba27d1b6e7a31e37961d0340ba753853f17da48eb11615b958039b47",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-01T21:00:04Z",
    "title_canon_sha256": "40170556839941cc35137e998065feca7ba26232eb2534706d6c327709836e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00453",
    "kind": "arxiv",
    "version": 1
  }
}