Pith Number

pith:5MOHATPN

pith:2011:5MOHATPN4J34E5ZN4UOASC7AA5

not attested not anchored not stored refs pending

The classification of the virtually cyclic subgroups of the sphere braid groups

Daciberg Lima Gon\c{c}alves (IME), John Guaschi (LMNO)

arxiv:1110.6628 v1 · 2011-10-30 · math.GT · 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{5MOHATPN4J34E5ZN4UOASC7AA5}

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	2026-05-18T03:08:47.847356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1c704dede277c2772de51c090be0077c46d426a90b1936694f812fea2e8fa3

Aliases

arxiv: 1110.6628 · arxiv_version: 1110.6628v1 · doi: 10.48550/arxiv.1110.6628 · pith_short_12: 5MOHATPN4J34 · pith_short_16: 5MOHATPN4J34E5ZN · pith_short_8: 5MOHATPN

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/5MOHATPN4J34E5ZN4UOASC7AA5 \
  | 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: eb1c704dede277c2772de51c090be0077c46d426a90b1936694f812fea2e8fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97439035a5de4b7caaa4e36301976f3932c27559961850d5808d979725c9ce7e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-30T18:17:37Z",
    "title_canon_sha256": "291c45c58fd765bb18854a3f6d2b13b5f40d951cab2828481a1224fb874f819b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6628",
    "kind": "arxiv",
    "version": 1
  }
}