Pith Number

pith:4GKOC4Z7

pith:2019:4GKOC4Z7G3FTHFA5WLWYBRYR3G

not attested not anchored not stored refs pending

$\Lambda$CDM-like models with future singularities

L. N. Granda

arxiv:1907.06854 v1 · 2019-07-16 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GKOC4Z7G3FTHFA5WLWYBRYR3G}

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	2026-05-17T23:40:28.952157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e194e1733f36cb33941db2ed80c711d9ac56fb1b9c3cc18bcb688b52820f1d3e

Aliases

arxiv: 1907.06854 · arxiv_version: 1907.06854v1 · doi: 10.48550/arxiv.1907.06854 · pith_short_12: 4GKOC4Z7G3FT · pith_short_16: 4GKOC4Z7G3FTHFA5 · pith_short_8: 4GKOC4Z7

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/4GKOC4Z7G3FTHFA5WLWYBRYR3G \
  | 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: e194e1733f36cb33941db2ed80c711d9ac56fb1b9c3cc18bcb688b52820f1d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5620d9b2fda8224fb28ce8e25d54d1c5c432e5a374b48339f899eaf4441f0194",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-16T06:05:49Z",
    "title_canon_sha256": "38579c419446222547273e0bdb5c74e179cbcaed10d9135c793b04f7c595627b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06854",
    "kind": "arxiv",
    "version": 1
  }
}