Pith Number

pith:ZVODECAS

pith:2016:ZVODECASTWO4ORODC5N7NHR2QD

not attested not anchored not stored refs pending

Dark energy as a manifestation of nontrivial arithmetic

Marek Czachor

arxiv:1604.05738 v2 · 2016-04-20 · math-ph · gr-qc · math.MP · quant-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{ZVODECASTWO4ORODC5N7NHR2QD}

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	2026-05-18T00:39:47.788238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5c3208129d9dc745c3175bf69e3a80e4498b72f912bdc1e596abad21214d11

Aliases

arxiv: 1604.05738 · arxiv_version: 1604.05738v2 · doi: 10.48550/arxiv.1604.05738 · pith_short_12: ZVODECASTWO4 · pith_short_16: ZVODECASTWO4OROD · pith_short_8: ZVODECAS

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/ZVODECASTWO4ORODC5N7NHR2QD \
  | 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: cd5c3208129d9dc745c3175bf69e3a80e4498b72f912bdc1e596abad21214d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e905da8a6bab48aa358cbee3ad6582297b870df63f86577df2b0f3a03995d8",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-20T05:17:50Z",
    "title_canon_sha256": "2d698f6ff52836709a6cfd7ba50904f836072aeff94a76db274a2b91bd89f759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05738",
    "kind": "arxiv",
    "version": 2
  }
}