Pith Number

pith:AVFJ6WJ2

pith:2001:AVFJ6WJ25YUYZH7NB72LUQKCLO

not attested not anchored not stored refs pending

Lectures on Quantum Cosmology

T. Christodoulakis

arxiv:gr-qc/0109059 v1 · 2001-09-18 · 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{AVFJ6WJ25YUYZH7NB72LUQKCLO}

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	2026-05-18T04:17:53.117287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054a9f593aee298c9fed0ff4ba41425bbdb3224a1327b3de5be40e97e6a74bdb

Aliases

arxiv: gr-qc/0109059 · arxiv_version: gr-qc/0109059v1 · doi: 10.48550/arxiv.gr-qc/0109059 · pith_short_12: AVFJ6WJ25YUY · pith_short_16: AVFJ6WJ25YUYZH7N · pith_short_8: AVFJ6WJ2

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/AVFJ6WJ25YUYZH7NB72LUQKCLO \
  | 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: 054a9f593aee298c9fed0ff4ba41425bbdb3224a1327b3de5be40e97e6a74bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55e4fbe2c2c41af83b77283c2ef180f5ca880480a5ab8d093b387c917c6f54e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-18T09:39:16Z",
    "title_canon_sha256": "7e480bd1205f8ee4f363aeb0f364c9da615f79da5f4a9cbdbfffaa706be052dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109059",
    "kind": "arxiv",
    "version": 1
  }
}