Pith Number

pith:YKTPBNTV

pith:2012:YKTPBNTVTIM7ADEWR5FJEWT4MA

not attested not anchored not stored refs pending

Finiteness properties of cubulated groups

Daniel T. Wise, G. Christopher Hruska

arxiv:1209.1074 v3 · 2012-09-05 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKTPBNTVTIM7ADEWR5FJEWT4MA}

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	2026-05-17T23:53:36.089419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a6f0b6759a19f00c968f4a925a7c6007b8d1308a2f63adf52f9040ef0f49f7

Aliases

arxiv: 1209.1074 · arxiv_version: 1209.1074v3 · doi: 10.48550/arxiv.1209.1074 · pith_short_12: YKTPBNTVTIM7 · pith_short_16: YKTPBNTVTIM7ADEW · pith_short_8: YKTPBNTV

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/YKTPBNTVTIM7ADEWR5FJEWT4MA \
  | 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: c2a6f0b6759a19f00c968f4a925a7c6007b8d1308a2f63adf52f9040ef0f49f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1fbf159b3b074e1f2947bc2607e1387556250b270739cde27c6050ebc8f6e3e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-05T18:39:06Z",
    "title_canon_sha256": "47b2e46ce077d89a3bfa4a4f012a6f9bd8625246c3b509c5f31d217cb3d34c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1074",
    "kind": "arxiv",
    "version": 3
  }
}