Pith Number

pith:V7KKME3P

pith:2015:V7KKME3PV4Q4QSOCUFLDD6KDOH

not attested not anchored not stored refs pending

On dimensions of groups with cocompact classifying spaces for proper actions

Ian J Leary, Nansen Petrosyan

arxiv:1504.02704 v4 · 2015-04-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7KKME3PV4Q4QSOCUFLDD6KDOH}

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	2026-05-18T00:51:34.328185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd4a6136faf21c849c2a15631f94371cedb8c5e3bcc224bff1882d5a778b4ab

Aliases

arxiv: 1504.02704 · arxiv_version: 1504.02704v4 · doi: 10.48550/arxiv.1504.02704 · pith_short_12: V7KKME3PV4Q4 · pith_short_16: V7KKME3PV4Q4QSOC · pith_short_8: V7KKME3P

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/V7KKME3PV4Q4QSOCUFLDD6KDOH \
  | 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: afd4a6136faf21c849c2a15631f94371cedb8c5e3bcc224bff1882d5a778b4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cedef1dd252e5731878a3b00493c4bbe7e798824613d1612faacded82d1e63e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-10T15:17:20Z",
    "title_canon_sha256": "869ca8521d7fd749054e8029a71a8e5f475f1472039827910dc35eaf63be2370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02704",
    "kind": "arxiv",
    "version": 4
  }
}