Pith Number

pith:CAL4SA4O

pith:2016:CAL4SA4O5WNGRPLNM6BXAKL5CT

not attested not anchored not stored refs pending

The late Universe with non-linear interaction in the dark sector: the coincidence problem

Alexander Zhuk, Jo\~ao Morais, Mariam Bouhmadi-L\'opez

arxiv:1603.06983 v3 · 2016-03-22 · gr-qc · astro-ph.CO · 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{CAL4SA4O5WNGRPLNM6BXAKL5CT}

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	2026-05-18T01:07:58.230588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1017c9038eed9a68bd6d678370297d14e7d5292e71af4e44468486e4a70097b8

Aliases

arxiv: 1603.06983 · arxiv_version: 1603.06983v3 · doi: 10.48550/arxiv.1603.06983 · pith_short_12: CAL4SA4O5WNG · pith_short_16: CAL4SA4O5WNGRPLN · pith_short_8: CAL4SA4O

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/CAL4SA4O5WNGRPLNM6BXAKL5CT \
  | 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: 1017c9038eed9a68bd6d678370297d14e7d5292e71af4e44468486e4a70097b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bc50c0cc7b5ab559d81539b5643eb4fefe5ad44b6178aad9acaba50a494c81",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-22T21:06:08Z",
    "title_canon_sha256": "74bf88475a75b43097dfc7c523482b13b1587bcd2b81170fcd0fd2348b6703c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06983",
    "kind": "arxiv",
    "version": 3
  }
}