Pith Number

pith:6YGV7IKS

pith:2015:6YGV7IKSNNV3NPVVXUUOBHW7JQ

not attested not anchored not stored refs pending

Finite presentations for K\"ahler groups with arbitrary finiteness properties

Claudio Llosa Isenrich

arxiv:1511.02064 v2 · 2015-11-06 · math.GR · math.DG · 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{6YGV7IKSNNV3NPVVXUUOBHW7JQ}

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	2026-05-17T23:58:19.829985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434

Aliases

arxiv: 1511.02064 · arxiv_version: 1511.02064v2 · doi: 10.48550/arxiv.1511.02064 · pith_short_12: 6YGV7IKSNNV3 · pith_short_16: 6YGV7IKSNNV3NPVV · pith_short_8: 6YGV7IKS

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/6YGV7IKSNNV3NPVVXUUOBHW7JQ \
  | 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: f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95ed8c797bfb56bc22544b4f4db55d856b2bea904a3beaddfb68230a0a803c9",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-06T13:12:21Z",
    "title_canon_sha256": "40dfd665d409ed471c0bcdaec1a677e6c9b396e2b441b9730033eadc6ae023e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02064",
    "kind": "arxiv",
    "version": 2
  }
}