Pith Number

pith:DWWG4FG5

pith:2010:DWWG4FG5FDU3BZLNFHW2R5O5TH

not attested not anchored not stored refs pending

Bost-Connes systems, Hecke algebras, and induction

Mak Trifkovic, Marcelo Laca, Sergey Neshveyev

arxiv:1010.4766 v2 · 2010-10-22 · math.OA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWWG4FG5FDU3BZLNFHW2R5O5TH}

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	2026-05-18T03:24:42.200147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dac6e14dd28e9b0e56d29eda8f5dd99d6b9e1c7af423ca0a9508163d08b04ad

Aliases

arxiv: 1010.4766 · arxiv_version: 1010.4766v2 · doi: 10.48550/arxiv.1010.4766 · pith_short_12: DWWG4FG5FDU3 · pith_short_16: DWWG4FG5FDU3BZLN · pith_short_8: DWWG4FG5

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/DWWG4FG5FDU3BZLNFHW2R5O5TH \
  | 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: 1dac6e14dd28e9b0e56d29eda8f5dd99d6b9e1c7af423ca0a9508163d08b04ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac209fec1fec08dc5a9a8f267c31719e494341c21be273d6378306925353399",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-10-22T17:39:26Z",
    "title_canon_sha256": "e5d067e0fde6e5dcd344782a8eecbc64e71bbe8af07eb28c3d8ea7c6a75bd1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4766",
    "kind": "arxiv",
    "version": 2
  }
}