Pith Number

pith:NGMX27JA

pith:2016:NGMX27JA4M2ZNZMQ3VOYN3P4WE

not attested not anchored not stored refs pending

Non-linear coupling in the dark sector as a running vacuum model

David Tamayo, Iv\'an E. S\'anchez G., Josue De-Santiago

arxiv:1612.02836 v2 · 2016-12-08 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGMX27JA4M2ZNZMQ3VOYN3P4WE}

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	2026-05-18T00:08:23.888113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69997d7d20e33596e590dd5d86edfcb127fe0716c431ca06951fb202de43af7f

Aliases

arxiv: 1612.02836 · arxiv_version: 1612.02836v2 · doi: 10.48550/arxiv.1612.02836 · pith_short_12: NGMX27JA4M2Z · pith_short_16: NGMX27JA4M2ZNZMQ · pith_short_8: NGMX27JA

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/NGMX27JA4M2ZNZMQ3VOYN3P4WE \
  | 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: 69997d7d20e33596e590dd5d86edfcb127fe0716c431ca06951fb202de43af7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2951453520038277333b86488d9bc887edf97c8c3822f6a029c19e37c22011c5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-08T21:01:09Z",
    "title_canon_sha256": "44939db1f7617b1e617234d47dbff1d76efa52236f27c110d5a0348a9fc5368c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02836",
    "kind": "arxiv",
    "version": 2
  }
}