Pith Number

pith:GCGUOTJO

pith:2019:GCGUOTJOAKVPALAGK6CR6KHS4K

not attested not anchored not stored refs pending

The Generic Expansion in Analytic Modified Gravity

Dimitrios Trachilis

arxiv:1905.12975 v1 · 2019-05-30 · 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{GCGUOTJOAKVPALAGK6CR6KHS4K}

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	2026-05-17T23:44:39.230531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308d474d2e02aaf02c0657851f28f2e2a2687972bc6c852b73224a67df99adae

Aliases

arxiv: 1905.12975 · arxiv_version: 1905.12975v1 · doi: 10.48550/arxiv.1905.12975 · pith_short_12: GCGUOTJOAKVP · pith_short_16: GCGUOTJOAKVPALAG · pith_short_8: GCGUOTJO

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/GCGUOTJOAKVPALAGK6CR6KHS4K \
  | 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: 308d474d2e02aaf02c0657851f28f2e2a2687972bc6c852b73224a67df99adae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eab91406f792630ddb67f95b7a0e43e301837f1569bac4633ab97a782c58a68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-05-30T11:39:05Z",
    "title_canon_sha256": "093140c93cb593e1bc9f9d089946f5b7c07df8d9743f3eaccd3c29edac6b35f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12975",
    "kind": "arxiv",
    "version": 1
  }
}