Pith Number

pith:HEWCJCJW

pith:2019:HEWCJCJWDKG5M7KSDQWLJHQNW6

not attested not anchored not stored refs pending

The volume operator in loop quantum cosmology

Wojciech Kaminski

arxiv:1906.07554 v1 · 2019-06-18 · 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{HEWCJCJWDKG5M7KSDQWLJHQNW6}

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	2026-05-17T23:43:07.555985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392c2489361a8dd67d521c2cb49e0db78c5a89af00a4b3824fa43e1c845aaf2c

Aliases

arxiv: 1906.07554 · arxiv_version: 1906.07554v1 · doi: 10.48550/arxiv.1906.07554 · pith_short_12: HEWCJCJWDKG5 · pith_short_16: HEWCJCJWDKG5M7KS · pith_short_8: HEWCJCJW

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/HEWCJCJWDKG5M7KSDQWLJHQNW6 \
  | 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: 392c2489361a8dd67d521c2cb49e0db78c5a89af00a4b3824fa43e1c845aaf2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea5f1f0b8e11fc807630651b51f5ae93f9c19d59d229b859c1aefd0adaaade8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-18T13:24:43Z",
    "title_canon_sha256": "d68b2633bfeba993fa0f2ed414b159bbff102b4f8fe16b99aaaa99caddc445cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07554",
    "kind": "arxiv",
    "version": 1
  }
}