Pith Number

pith:2TW4A34S

pith:2007:2TW4A34S75OOLJL2VUISVKRJCX

not attested not anchored not stored refs pending

Open FRW model in Loop Quantum Cosmology

Lukasz Szulc

arxiv:0707.1816 v4 · 2007-07-12 · 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{2TW4A34S75OOLJL2VUISVKRJCX}

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.

Cited by

1 paper in Pith

Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

Receipt and verification

First computed	2026-07-04T15:24:27.120243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4edc06f92ff5ce5a57aad112aaa2915d9a639a68546c45bb6ed89cdeae7fd27

Aliases

arxiv: 0707.1816 · arxiv_version: 0707.1816v4 · doi: 10.48550/arxiv.0707.1816 · pith_short_12: 2TW4A34S75OO · pith_short_16: 2TW4A34S75OOLJL2 · pith_short_8: 2TW4A34S

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/2TW4A34S75OOLJL2VUISVKRJCX \
  | 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: d4edc06f92ff5ce5a57aad112aaa2915d9a639a68546c45bb6ed89cdeae7fd27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20edaeeafb3f744c4cfedf4d82c6df3a93ae1d37cb36f41ab6a1145ea77e1466",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-07-12T15:51:37Z",
    "title_canon_sha256": "a80192398e22cd242a23217ee8252871ce0c90b703122a4bea035750d6fdf64d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1816",
    "kind": "arxiv",
    "version": 4
  }
}