Pith Number

pith:BIJ6ZWOP

pith:2011:BIJ6ZWOPE4UDW5VVKPRML27V3N

not attested not anchored not stored refs pending

On a proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time

T. Charters

arxiv:1106.1534 v1 · 2011-06-08 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIJ6ZWOPE4UDW5VVKPRML27V3N}

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	2026-05-18T04:20:22.833206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a13ecd9cf27283b76b553e2c5ebf5db4804b8a20a7ba3152ff9f11a7125cede

Aliases

arxiv: 1106.1534 · arxiv_version: 1106.1534v1 · doi: 10.48550/arxiv.1106.1534 · pith_short_12: BIJ6ZWOPE4UD · pith_short_16: BIJ6ZWOPE4UDW5VV · pith_short_8: BIJ6ZWOP

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/BIJ6ZWOPE4UDW5VVKPRML27V3N \
  | 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: 0a13ecd9cf27283b76b553e2c5ebf5db4804b8a20a7ba3152ff9f11a7125cede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9cd28b36b529226abe26287423dafe1df2e78a65dec1daa6bb4d71fdc663a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-08T10:45:29Z",
    "title_canon_sha256": "386556a0f27918a9a1c4f41f461441e5f23c3c7e1d6794dcc4dcd3e39a8bc3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1534",
    "kind": "arxiv",
    "version": 1
  }
}