Pith Number

pith:L5O4JPI3

pith:2017:L5O4JPI3GE3NLA54RA6FLCRHKV

not attested not anchored not stored refs pending

Profinite completions of Burnside-type quotients of surface groups

Louis Funar, Pierre Lochak

arxiv:1702.07866 v2 · 2017-02-25 · 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{L5O4JPI3GE3NLA54RA6FLCRHKV}

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	2026-05-17T23:55:39.025777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5dc4bd1b3136d583bc883c558a275579f8a92f448465389c08d81c7e8b74be

Aliases

arxiv: 1702.07866 · arxiv_version: 1702.07866v2 · doi: 10.48550/arxiv.1702.07866 · pith_short_12: L5O4JPI3GE3N · pith_short_16: L5O4JPI3GE3NLA54 · pith_short_8: L5O4JPI3

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/L5O4JPI3GE3NLA54RA6FLCRHKV \
  | 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: 5f5dc4bd1b3136d583bc883c558a275579f8a92f448465389c08d81c7e8b74be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1292cf282e9408192ea018b0df1e6915a9b4a88f3ed1065d994229e67e61f4c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-25T09:52:17Z",
    "title_canon_sha256": "9811f74ca58002b64ec61dfabc40a5573d80df478d0fa4c01f6d31974da8b595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07866",
    "kind": "arxiv",
    "version": 2
  }
}