Pith Number

pith:5O4KRS7O

pith:2016:5O4KRS7OHWCBGSY7HDEHTESY32

not attested not anchored not stored refs pending

Topological complexity of subgroups of Artin's braid groups

David Recio-Mitter, Mark Grant

arxiv:1607.04830 v2 · 2016-07-17 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5O4KRS7OHWCBGSY7HDEHTESY32}

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	2026-05-18T01:09:11.592934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb8a8cbee3d84134b1f38c8799258de8aef84fc6b60b7fe93ffea6723d86db9

Aliases

arxiv: 1607.04830 · arxiv_version: 1607.04830v2 · doi: 10.48550/arxiv.1607.04830 · pith_short_12: 5O4KRS7OHWCB · pith_short_16: 5O4KRS7OHWCBGSY7 · pith_short_8: 5O4KRS7O

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/5O4KRS7OHWCBGSY7HDEHTESY32 \
  | 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: ebb8a8cbee3d84134b1f38c8799258de8aef84fc6b60b7fe93ffea6723d86db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c957d84c5160aec361861ed067aabbef05173ef4ea647b382320846f9d1ada",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-07-17T06:48:56Z",
    "title_canon_sha256": "0f48b7bbadddcdc50351b0619e8d5d47a3c406b7b96019f17fc0c1e3fa9cd6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04830",
    "kind": "arxiv",
    "version": 2
  }
}