Pith Number

pith:WCNMFBOP

pith:2024:WCNMFBOPPKX6LP2DS7EWYOBJBQ

not attested not anchored not stored refs pending

BKL bounces outside homogeneity: Gowdy symmetric spacetimes

Warren Li

arxiv:2408.12427 v1 · 2024-08-22 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCNMFBOPPKX6LP2DS7EWYOBJBQ}

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	2026-07-05T08:58:09.072215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09ac285cf7aafe5bf4397c96c38290c3e0c0a42935aef4f385eddbed0570f57

Aliases

arxiv: 2408.12427 · arxiv_version: 2408.12427v1 · doi: 10.48550/arxiv.2408.12427 · pith_short_12: WCNMFBOPPKX6 · pith_short_16: WCNMFBOPPKX6LP2D · pith_short_8: WCNMFBOP

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/WCNMFBOPPKX6LP2DS7EWYOBJBQ \
  | 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: b09ac285cf7aafe5bf4397c96c38290c3e0c0a42935aef4f385eddbed0570f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9e6807c4222108491b71368512161e15db04960ccba6b710f6a6be950acf6a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-08-22T14:21:02Z",
    "title_canon_sha256": "2c19d21e73e5fffe111f1b769e92c428bc50290a5121315a46f327871325c413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12427",
    "kind": "arxiv",
    "version": 1
  }
}