Pith Number

pith:GHLC7P6T

pith:2022:GHLC7P6TOGC4R73B4J4NA25D7G

not attested not anchored not stored refs pending

Lectures on classical and quantum cosmology

Gianluca Calcagni, Maria Grazia Di Luca, Tom\'a\v{s} Fodran

arxiv:2202.13875 v3 · 2022-02-28 · 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{GHLC7P6TOGC4R73B4J4NA25D7G}

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	2026-07-05T04:48:43.302820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d62fbfd37185c8ff61e278d06ba3f9a8bfd7fa44fe8c41c0d5b157ccf11ba5

Aliases

arxiv: 2202.13875 · arxiv_version: 2202.13875v3 · doi: 10.48550/arxiv.2202.13875 · pith_short_12: GHLC7P6TOGC4 · pith_short_16: GHLC7P6TOGC4R73B · pith_short_8: GHLC7P6T

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/GHLC7P6TOGC4R73B4J4NA25D7G \
  | 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: 31d62fbfd37185c8ff61e278d06ba3f9a8bfd7fa44fe8c41c0d5b157ccf11ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6c40667996f309d75b23e476dccf872fb5c56de04ac09ec7327f5bc06a62f5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-02-28T15:23:59Z",
    "title_canon_sha256": "ac10940a2f437b332d19c2c519500f5f6b2298edf13b4b146f06559874179801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.13875",
    "kind": "arxiv",
    "version": 3
  }
}