Pith Number

pith:ULXMTZYB

pith:2010:ULXMTZYBGYNPXCRV3KO2PB32JB

not attested not anchored not stored refs pending

Hybrid Quantization: From Bianchi I to the Gowdy Model

Edward Wilson-Ewing, Guillermo A. Mena Marug\'an, Mercedes Mart\'in-Benito

arxiv:1006.2369 v2 · 2010-06-11 · 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{ULXMTZYBGYNPXCRV3KO2PB32JB}

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	2026-05-18T02:33:17.172124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2eec9e701361afb8a35da9da7877a4857df511034b489d4806dfef04477397d

Aliases

arxiv: 1006.2369 · arxiv_version: 1006.2369v2 · doi: 10.48550/arxiv.1006.2369 · pith_short_12: ULXMTZYBGYNP · pith_short_16: ULXMTZYBGYNPXCRV · pith_short_8: ULXMTZYB

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/ULXMTZYBGYNPXCRV3KO2PB32JB \
  | 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: a2eec9e701361afb8a35da9da7877a4857df511034b489d4806dfef04477397d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c22fc10790f461e5f859fb1b5029378b9f41d83466570609355aa20591ec78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-11T19:10:48Z",
    "title_canon_sha256": "3d9ab6b23e316ab8cf41ea29657753ca18445b65546a7140f2d745d0dbc5064c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2369",
    "kind": "arxiv",
    "version": 2
  }
}