Pith Number

pith:IH2DNAAA

pith:2006:IH2DNAAA7C4RXINSXRQVYQOIG2

not attested not anchored not stored refs pending

Virtual Betti Numbers of Compact Locally Symmetric Spaces

T.N.Venkataramana

arxiv:math/0611733 v1 · 2006-11-23 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IH2DNAAA7C4RXINSXRQVYQOIG2}

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	2026-05-18T03:32:06.381228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f4368000f8b91ba1b2bc615c41c836862d7f48f420c9eca1ebd04c9119b9ff

Aliases

arxiv: math/0611733 · arxiv_version: math/0611733v1 · doi: 10.48550/arxiv.math/0611733 · pith_short_12: IH2DNAAA7C4R · pith_short_16: IH2DNAAA7C4RXINS · pith_short_8: IH2DNAAA

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/IH2DNAAA7C4RXINSXRQVYQOIG2 \
  | 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: 41f4368000f8b91ba1b2bc615c41c836862d7f48f420c9eca1ebd04c9119b9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305520c3252bd9010759d24f3201d3ef0402b6efb064b2bc51a61cf2f40cc021",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-11-23T16:13:07Z",
    "title_canon_sha256": "442ad31738bd999286638e8e110099c5fc2f5a9c894b80cca0c9ddac0d306800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611733",
    "kind": "arxiv",
    "version": 1
  }
}