Pith Number

pith:FCSCKQE5

pith:2013:FCSCKQE55U5PN7BKU4C3LICMVB

not attested not anchored not stored refs pending

Modified Friedmann equation and survey of solutions in effective Bianchi-I loop quantum cosmology

Aurelien Barrau, Linda Linsefors

arxiv:1305.4516 v2 · 2013-05-20 · 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{FCSCKQE55U5PN7BKU4C3LICMVB}

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	2026-05-18T02:46:32.886005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a425409ded3af6fc2aa705b5a04ca86d57571b498161b56835fa6904b65d77

Aliases

arxiv: 1305.4516 · arxiv_version: 1305.4516v2 · doi: 10.48550/arxiv.1305.4516 · pith_short_12: FCSCKQE55U5P · pith_short_16: FCSCKQE55U5PN7BK · pith_short_8: FCSCKQE5

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/FCSCKQE55U5PN7BKU4C3LICMVB \
  | 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: 28a425409ded3af6fc2aa705b5a04ca86d57571b498161b56835fa6904b65d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406e45a3a67f7b9ddb028fd358574e44baa5ba794c1432e59458b0bcc41fcfde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-05-20T13:04:53Z",
    "title_canon_sha256": "44e1116a0313cae477908ddd8f4ae1c9742939ea65603e643036461b48fc3305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4516",
    "kind": "arxiv",
    "version": 2
  }
}