Pith Number

pith:3GUGMLNC

pith:2019:3GUGMLNCYR7UEVCDZY2ZSCZ7A7

not attested not anchored not stored refs pending

Cosmological Number Counts in Einstein and Jordan frames

Basundhara Ghosh, J\'er\'emie Francfort, Ruth Durrer

arxiv:1907.03606 v1 · 2019-07-08 · 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{3GUGMLNCYR7UEVCDZY2ZSCZ7A7}

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	2026-07-05T00:10:39.326999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a8662da2c47f425443ce35990b3f07f3c64aa799ba5c098d74928e9dc92a31

Aliases

arxiv: 1907.03606 · arxiv_version: 1907.03606v1 · doi: 10.48550/arxiv.1907.03606 · pith_short_12: 3GUGMLNCYR7U · pith_short_16: 3GUGMLNCYR7UEVCD · pith_short_8: 3GUGMLNC

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/3GUGMLNCYR7UEVCDZY2ZSCZ7A7 \
  | 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: d9a8662da2c47f425443ce35990b3f07f3c64aa799ba5c098d74928e9dc92a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb2d48b7de72c9a7181f892ff465a37a5b07ace0b04d2281d6711ac3ca0ffdc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-08T13:31:34Z",
    "title_canon_sha256": "ff7d3adcfe746014cc398a55f48213dfde8eb84b6f781c888572934ca23a09ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03606",
    "kind": "arxiv",
    "version": 1
  }
}