Pith Number

pith:OLNVUWVP

pith:2000:OLNVUWVP72ZCGLYZSLF2GBTW6E

not attested not anchored not stored refs pending

Torsion in K-theory for boundary actions on affine buildings of type $\tA_n$

Guyan Robertson

arxiv:math/0011192 v1 · 2000-11-23 · math.OA · 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{OLNVUWVP72ZCGLYZSLF2GBTW6E}

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	2026-05-18T03:32:45.982173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72db5a5aaffeb2232f1992cba30676f1035315f6eb99acd24d82ff685e63fe9c

Aliases

arxiv: math/0011192 · arxiv_version: math/0011192v1 · doi: 10.48550/arxiv.math/0011192 · pith_short_12: OLNVUWVP72ZC · pith_short_16: OLNVUWVP72ZCGLYZ · pith_short_8: OLNVUWVP

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/OLNVUWVP72ZCGLYZSLF2GBTW6E \
  | 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: 72db5a5aaffeb2232f1992cba30676f1035315f6eb99acd24d82ff685e63fe9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19555bb7bca4c0066a6935fc75c3e785e3be4bb38fcf8ad563fedca1de64df06",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2000-11-23T03:58:02Z",
    "title_canon_sha256": "be21972c5e698a37fc0888ef5bd97a07ab940070d94ef20010bad4740023022e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011192",
    "kind": "arxiv",
    "version": 1
  }
}