Pith Number

pith:2N7YS6HL

pith:2012:2N7YS6HLU5IAF4ATNUZ6M3WDAR

not attested not anchored not stored refs pending

On the Subgroups of Right Angled Artin Groups and Mapping Class Groups

Martin R. Bridson

arxiv:1205.5416 v1 · 2012-05-24 · 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{2N7YS6HLU5IAF4ATNUZ6M3WDAR}

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	2026-05-18T03:55:01.058049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37f8978eba75002f0136d33e66ec3047886efb7ebbc7c43a2df661f81830f6f

Aliases

arxiv: 1205.5416 · arxiv_version: 1205.5416v1 · doi: 10.48550/arxiv.1205.5416 · pith_short_12: 2N7YS6HLU5IA · pith_short_16: 2N7YS6HLU5IAF4AT · pith_short_8: 2N7YS6HL

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/2N7YS6HLU5IAF4ATNUZ6M3WDAR \
  | 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: d37f8978eba75002f0136d33e66ec3047886efb7ebbc7c43a2df661f81830f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b0ddf3e0e1e05b061a886430a46a9a101126c1071fa575eb34b658ccf6a74c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-24T12:15:20Z",
    "title_canon_sha256": "b2bff1d8a50503bf5e33fe1099bb1287f20182a269b2d6be4bd5a9791005a74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5416",
    "kind": "arxiv",
    "version": 1
  }
}