Pith Number

pith:WTROHUSD

pith:2018:WTROHUSDDBXE4MDXYTYXASPDZA

not attested not anchored not stored refs pending

Oscillating solutions of the matter density contrast in Horndeski's theory

Jiro Matsumoto

arxiv:1806.10454 v2 · 2018-06-21 · gr-qc · astro-ph.CO · 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{WTROHUSDDBXE4MDXYTYXASPDZA}

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	2026-05-17T23:55:20.459843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e2e3d243186e4e3077c4f17049e3c826985369ca10bc70d8700bec37073303

Aliases

arxiv: 1806.10454 · arxiv_version: 1806.10454v2 · doi: 10.48550/arxiv.1806.10454 · pith_short_12: WTROHUSDDBXE · pith_short_16: WTROHUSDDBXE4MDX · pith_short_8: WTROHUSD

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/WTROHUSDDBXE4MDXYTYXASPDZA \
  | 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: b4e2e3d243186e4e3077c4f17049e3c826985369ca10bc70d8700bec37073303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe1c630e1d66f753370c565b42a155b2f733d0f5799d72941ddcf715f2ba420",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-21T07:16:15Z",
    "title_canon_sha256": "ad601425d019d2dafc45aa0a8a090ecb0e22048d0f5bb5c991746aabe363958c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10454",
    "kind": "arxiv",
    "version": 2
  }
}