Pith Number

pith:ZWS42PNF

pith:2005:ZWS42PNFBAW42WJLYLAKMEKLZR

not attested not anchored not stored refs pending

Approximate pre-classical solutions in loop quantum cosmology

Gaurav Khanna, Seth Connors

arxiv:gr-qc/0509081 v1 · 2005-09-20 · 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{ZWS42PNFBAW42WJLYLAKMEKLZR}

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	2026-05-18T02:37:27.450926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda5cd3da5082dcd592bc2c0a6114bcc51732e4c188e535982531b928429b98a

Aliases

arxiv: gr-qc/0509081 · arxiv_version: gr-qc/0509081v1 · doi: 10.48550/arxiv.gr-qc/0509081 · pith_short_12: ZWS42PNFBAW4 · pith_short_16: ZWS42PNFBAW42WJL · pith_short_8: ZWS42PNF

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/ZWS42PNFBAW42WJLYLAKMEKLZR \
  | 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: cda5cd3da5082dcd592bc2c0a6114bcc51732e4c188e535982531b928429b98a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a3dac6fe4d815b1dcd6214b2d4554151c63304144c2a75318262ad7a296262",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-20T21:14:19Z",
    "title_canon_sha256": "aab8d781f1b0a573bd7abc5efdbb61ac80fc6a94a7915757c413a296e7110f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509081",
    "kind": "arxiv",
    "version": 1
  }
}