Pith Number

pith:BFOXU4U7

pith:2009:BFOXU4U7C6AAPXK2DT5ZBECODH

not attested not anchored not stored refs pending

Locally symmetric spaces and K-theory of number fields

Thilo Kuessner

arxiv:0904.0919 v6 · 2009-04-06 · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFOXU4U7C6AAPXK2DT5ZBECODH}

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	2026-05-18T02:41:51.298015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095d7a729f178007dd5a1cfb90904e19ef9df84dc4f5780675789abccc6984e2

Aliases

arxiv: 0904.0919 · arxiv_version: 0904.0919v6 · doi: 10.48550/arxiv.0904.0919 · pith_short_12: BFOXU4U7C6AA · pith_short_16: BFOXU4U7C6AAPXK2 · pith_short_8: BFOXU4U7

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/BFOXU4U7C6AAPXK2DT5ZBECODH \
  | 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: 095d7a729f178007dd5a1cfb90904e19ef9df84dc4f5780675789abccc6984e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b473c6a49fee4d9b386cda49793d1b02e183944a5bd9baa4752fa848d0aac0c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-04-06T13:36:35Z",
    "title_canon_sha256": "6a41718778ff209b798000ede3bef649023c86baf8d1d62dc4ac3d0098c7e2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0919",
    "kind": "arxiv",
    "version": 6
  }
}