Pith Number

pith:PIPHNQQK

pith:2018:PIPHNQQKTQMUW5FUASLGXNSNM5

not attested not anchored not stored refs pending

Complete conformal classification of the Friedmann-Lemaitre-Robertson-Walker solutions with a linear equation of state

B. J. Carr, Takahisa Igata, Tomohiro Harada

arxiv:1801.01966 v2 · 2018-01-06 · 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{PIPHNQQKTQMUW5FUASLGXNSNM5}

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	2026-05-18T00:17:07.917940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1e76c20a9c194b74b404966bb64d6779130b8e6d8a8f1badd8de29109e5d8e

Aliases

arxiv: 1801.01966 · arxiv_version: 1801.01966v2 · doi: 10.48550/arxiv.1801.01966 · pith_short_12: PIPHNQQKTQMU · pith_short_16: PIPHNQQKTQMUW5FU · pith_short_8: PIPHNQQK

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/PIPHNQQKTQMUW5FUASLGXNSNM5 \
  | 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: 7a1e76c20a9c194b74b404966bb64d6779130b8e6d8a8f1badd8de29109e5d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f86376646fe10a018e1c6b85d6685f8414d74b9d212cfdcec534ff6dfe469f5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-01-06T04:52:28Z",
    "title_canon_sha256": "b2fc6009190271838a353b43c0c92467dbec61d80c400bf49c6529a72cb5ca68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01966",
    "kind": "arxiv",
    "version": 2
  }
}