Pith Number

pith:QD6ZZVX5

pith:2026:QD6ZZVX5OFY4WDWL4PZFEM4Z63

not attested not anchored not stored refs pending

Generic polar divisors and flag residues for root-system zeta functions

Jonas Matuzas

arxiv:2607.18945 v1 · 2026-07-21 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QD6ZZVX5OFY4WDWL4PZFEM4Z63}

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	2026-07-22T01:23:21.009258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fd9cd6fd7171cb0ecbe3f2523399f6d4c8fd5cb0daa33a120a3f479c81a5fc

Aliases

arxiv: 2607.18945 · arxiv_version: 2607.18945v1 · doi: 10.48550/arxiv.2607.18945 · pith_short_12: QD6ZZVX5OFY4 · pith_short_16: QD6ZZVX5OFY4WDWL · pith_short_8: QD6ZZVX5

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/QD6ZZVX5OFY4WDWL4PZFEM4Z63 \
  | 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: 80fd9cd6fd7171cb0ecbe3f2523399f6d4c8fd5cb0daa33a120a3f479c81a5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72f0c3492d7975564c0e509929e8db920e5bd84f766733bab0f5947ad0de319",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-21T10:27:57Z",
    "title_canon_sha256": "4a722bd6b585db2d223669daa8896f45e8bc88e6c0517a34b0ad8417905c674b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18945",
    "kind": "arxiv",
    "version": 1
  }
}