Pith Number

pith:ZX6ZGPAI

pith:2012:ZX6ZGPAI6N6RL7X7GC37ONYT5O

not attested not anchored not stored refs pending

Right-angled Artin groups with non-path-connected boundary

Wes Camp

arxiv:1210.7246 v1 · 2012-10-26 · 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{ZX6ZGPAI6N6RL7X7GC37ONYT5O}

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	2026-05-18T03:42:10.728151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfd933c08f37d15feff30b7f73713eba3adb0a5a84db41d3ec41fd196bcc6b9

Aliases

arxiv: 1210.7246 · arxiv_version: 1210.7246v1 · doi: 10.48550/arxiv.1210.7246 · pith_short_12: ZX6ZGPAI6N6R · pith_short_16: ZX6ZGPAI6N6RL7X7 · pith_short_8: ZX6ZGPAI

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/ZX6ZGPAI6N6RL7X7GC37ONYT5O \
  | 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: cdfd933c08f37d15feff30b7f73713eba3adb0a5a84db41d3ec41fd196bcc6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0447b7215d99ffd0f513605ec35e56c1fcd77771940aad1b990394ce16c68029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-26T20:22:32Z",
    "title_canon_sha256": "45cd76f03a51282e227aa87a8092dd025eb8155fea7b746c9333dd8d8abe6cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7246",
    "kind": "arxiv",
    "version": 1
  }
}