Pith Number

pith:JMMFZVQZ

pith:2026:JMMFZVQZ4D43CFIENVCNEANSOR

not attested not anchored not stored refs pending

Products of involutons in symplectic groups II

Klaus Nielsen

arxiv:2606.04642 v1 · 2026-06-03 · 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{JMMFZVQZ4D43CFIENVCNEANSOR}

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	2026-06-04T01:09:22.748470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b185cd619e0f9b115046d44d201b27457c5fce5022929bd702796cb1a500ca9

Aliases

arxiv: 2606.04642 · arxiv_version: 2606.04642v1 · doi: 10.48550/arxiv.2606.04642 · pith_short_12: JMMFZVQZ4D43 · pith_short_16: JMMFZVQZ4D43CFIE · pith_short_8: JMMFZVQZ

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/JMMFZVQZ4D43CFIENVCNEANSOR \
  | 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: 4b185cd619e0f9b115046d44d201b27457c5fce5022929bd702796cb1a500ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7347460bce94fd5e002e90e5d10a613add73cf0a592307203f33556f83c4ace",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-03T09:11:37Z",
    "title_canon_sha256": "f14fb79c16198a7fa15a2711f6e923eb91cdf4bb5572b437bb07ef787a056e4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04642",
    "kind": "arxiv",
    "version": 1
  }
}