Pith Number

pith:HSG7NHHS

pith:2017:HSG7NHHSYOOS6IF5C5CUVIEDAA

not attested not anchored not stored refs pending

Gauge invariant canonical cosmological perturbation theory with geometrical clocks in extended phase space - a review and applications

Adrian Herzog, Kristina Giesel

arxiv:1712.09878 v2 · 2017-12-28 · 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{HSG7NHHSYOOS6IF5C5CUVIEDAA}

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	2026-05-18T00:14:40.565802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8df69cf2c39d2f20bd17454aa083001e8adaab62f3d0865d72bed54ce5b964

Aliases

arxiv: 1712.09878 · arxiv_version: 1712.09878v2 · doi: 10.48550/arxiv.1712.09878 · pith_short_12: HSG7NHHSYOOS · pith_short_16: HSG7NHHSYOOS6IF5 · pith_short_8: HSG7NHHS

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/HSG7NHHSYOOS6IF5C5CUVIEDAA \
  | 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: 3c8df69cf2c39d2f20bd17454aa083001e8adaab62f3d0865d72bed54ce5b964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b549575a8000d7a7802d833332b87e6a20354234356640be26e2ec27688c96da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-28T14:51:27Z",
    "title_canon_sha256": "ea2966ea39d0003d66da1e18e3393818f24fa89e0dba630aa6e31b3e64a53fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09878",
    "kind": "arxiv",
    "version": 2
  }
}