Pith Number

pith:MXDLOCQC

pith:2016:MXDLOCQCCISUYBZ6BLUDUI2FVR

not attested not anchored not stored refs pending

Classifying spaces for the family of virtually cyclic subgroups of braid groups

Juan Gonz\'alez-Meneses, Ram\'on Flores

arxiv:1611.02187 v3 · 2016-11-07 · math.AT · 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{MXDLOCQCCISUYBZ6BLUDUI2FVR}

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	2026-05-18T00:23:59.176582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c6b70a0212254c073e0ae83a2345ac62084cf3552ca2b55bc6708d796afb1a

Aliases

arxiv: 1611.02187 · arxiv_version: 1611.02187v3 · doi: 10.48550/arxiv.1611.02187 · pith_short_12: MXDLOCQCCISU · pith_short_16: MXDLOCQCCISUYBZ6 · pith_short_8: MXDLOCQC

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/MXDLOCQCCISUYBZ6BLUDUI2FVR \
  | 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: 65c6b70a0212254c073e0ae83a2345ac62084cf3552ca2b55bc6708d796afb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bd0ce289c97b6d7531d68533c34080ef65823b30ad74fba584a50afaf2625e4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-11-07T17:44:09Z",
    "title_canon_sha256": "31a724bfb5d44de8689be58a68c6f5f55eabd94ba36406fbccb0c9620d96d528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02187",
    "kind": "arxiv",
    "version": 3
  }
}