Pith Number

pith:WGHGFR2Y

pith:2010:WGHGFR2Y5NWAVK43MUEZF4XFLO

not attested not anchored not stored refs pending

Combinatorial Methods for Detecting Surface Subgroups in Right-Angled Artin Groups

Robert W. Bell

arxiv:1012.4208 v1 · 2010-12-19 · 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{WGHGFR2Y5NWAVK43MUEZF4XFLO}

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	2026-05-18T04:32:55.241408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18e62c758eb6c0aab9b650992f2e55b8563e792b02578b8fa684b9c99cca0bf

Aliases

arxiv: 1012.4208 · arxiv_version: 1012.4208v1 · doi: 10.48550/arxiv.1012.4208 · pith_short_12: WGHGFR2Y5NWA · pith_short_16: WGHGFR2Y5NWAVK43 · pith_short_8: WGHGFR2Y

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/WGHGFR2Y5NWAVK43MUEZF4XFLO \
  | 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: b18e62c758eb6c0aab9b650992f2e55b8563e792b02578b8fa684b9c99cca0bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56bdc18a6fef17946ab469b52fb579445a197d72220d55a21414240929250f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-19T21:19:56Z",
    "title_canon_sha256": "0e32cb600a2f9b9cc2821133bac1248981a37947f3f5cb65ee7ba7907f8bf6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4208",
    "kind": "arxiv",
    "version": 1
  }
}