Pith Number

pith:TDVTJFJ7

pith:2011:TDVTJFJ7LUFWIWFNUKZWP7CKOJ

not attested not anchored not stored refs pending

Evolution in bouncing quantum cosmology

Jakub Mielczarek, Wlodzimierz Piechocki

arxiv:1107.4686 v2 · 2011-07-23 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDVTJFJ7LUFWIWFNUKZWP7CKOJ}

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	2026-05-18T04:00:52.165290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98eb34953f5d0b6458ada2b367fc4a724e276bbf5b4387f439fcd2f2816e8235

Aliases

arxiv: 1107.4686 · arxiv_version: 1107.4686v2 · doi: 10.48550/arxiv.1107.4686 · pith_short_12: TDVTJFJ7LUFW · pith_short_16: TDVTJFJ7LUFWIWFN · pith_short_8: TDVTJFJ7

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/TDVTJFJ7LUFWIWFNUKZWP7CKOJ \
  | 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: 98eb34953f5d0b6458ada2b367fc4a724e276bbf5b4387f439fcd2f2816e8235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5d1e0741c7f80071655391a439673759f657d4de7bbaf86819eb31acb6b110",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-23T12:31:52Z",
    "title_canon_sha256": "cddafccf6addd92f6bc89785dcc8fc2dc5b36815cd011b3d1070c49954238a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4686",
    "kind": "arxiv",
    "version": 2
  }
}