Pith Number

pith:7OXVZMXX

pith:2005:7OXVZMXXL2WEQZ5IMWY3PKTDLX

not attested not anchored not stored refs pending

Torsion in Boundary Coinvariants and K-theory for Affine Buildings

Guyan Robertson

arxiv:math/0501330 v1 · 2005-01-20 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OXVZMXXL2WEQZ5IMWY3PKTDLX}

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	2026-05-18T03:32:45.934528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbaf5cb2f75eac4867a865b1b7aa635dcb23028f9f53282d5e688a7b1f7e4b4d

Aliases

arxiv: math/0501330 · arxiv_version: math/0501330v1 · doi: 10.48550/arxiv.math/0501330 · pith_short_12: 7OXVZMXXL2WE · pith_short_16: 7OXVZMXXL2WEQZ5I · pith_short_8: 7OXVZMXX

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/7OXVZMXXL2WEQZ5IMWY3PKTDLX \
  | 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: fbaf5cb2f75eac4867a865b1b7aa635dcb23028f9f53282d5e688a7b1f7e4b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e62a251816800b729baa96d65b00d63b3f1a5f68e93ec58a9d68b5dafe3120c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2005-01-20T17:51:04Z",
    "title_canon_sha256": "fb90b5e3cb9cb277445aeb95316aa671d22b903765f664db8699715fdf9741bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501330",
    "kind": "arxiv",
    "version": 1
  }
}