Pith Number

pith:GMXEZOD4

pith:2013:GMXEZOD46OITVRTEIXSFXK6VGN

not attested not anchored not stored refs pending

Quantum states of the bouncing universe

Jakub Mielczarek, Jean Pierre Gazeau, Wlodzimierz Piechocki

arxiv:1303.1687 v1 · 2013-03-07 · gr-qc · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMXEZOD46OITVRTEIXSFXK6VGN}

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	2026-05-18T03:21:11.775054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332e4cb87cf3913ac66445e45babd53355326ac30aad84585cf31627c2be5095

Aliases

arxiv: 1303.1687 · arxiv_version: 1303.1687v1 · doi: 10.48550/arxiv.1303.1687 · pith_short_12: GMXEZOD46OIT · pith_short_16: GMXEZOD46OITVRTE · pith_short_8: GMXEZOD4

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/GMXEZOD46OITVRTEIXSFXK6VGN \
  | 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: 332e4cb87cf3913ac66445e45babd53355326ac30aad84585cf31627c2be5095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1750a8753e0ba4a4dfb6929e2c028807e41242137c2d6b35f655e8ea05ae7df9",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-03-07T13:34:40Z",
    "title_canon_sha256": "d7327a68a2d7fd73aead41ab89883abd4f0524cf089f633fa828d2790b187c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1687",
    "kind": "arxiv",
    "version": 1
  }
}