Pith Number

pith:H6EPR5FF

pith:2025:H6EPR5FFKPJ66NLJ6DKS65COIN

not attested not anchored not stored refs pending

Products of strictly hyperbolic conjugacy classes in symplectic groups

Klaus Nielsen

arxiv:2509.26237 v2 · 2025-09-30 · 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{H6EPR5FFKPJ66NLJ6DKS65COIN}

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	2026-05-21T01:05:10.027073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f88f8f4a553d3ef3569f0d52f744e437c361d6b244cd77052cb0467607f6af3

Aliases

arxiv: 2509.26237 · arxiv_version: 2509.26237v2 · doi: 10.48550/arxiv.2509.26237 · pith_short_12: H6EPR5FFKPJ6 · pith_short_16: H6EPR5FFKPJ66NLJ · pith_short_8: H6EPR5FF

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/H6EPR5FFKPJ66NLJ6DKS65COIN \
  | 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: 3f88f8f4a553d3ef3569f0d52f744e437c361d6b244cd77052cb0467607f6af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45ae6f9c5d08663f18f20b3c8480f223ff3f09e058d98fa8a33cc4e78b70e9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-09-30T13:31:53Z",
    "title_canon_sha256": "e82dc9b034b230112f6050c204e54c5846802ca47cfe81ff988eb010b04b248f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.26237",
    "kind": "arxiv",
    "version": 2
  }
}