Pith Number

pith:AZGDVAGT

pith:2026:AZGDVAGTPYKJB6XNNZ3JIBTALY

not attested not anchored not stored refs pending

Minimal Polynomials of Generalized Heisenberg Groups

Tillmann Jentsch

arxiv:2601.08826 v2 · 2026-01-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZGDVAGTPYKJB6XNNZ3JIBTALY}

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	2026-06-09T02:08:37.122546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064c3a80d37e1490faed6e769406605e300475923e4ba751264551d18b740fb6

Aliases

arxiv: 2601.08826 · arxiv_version: 2601.08826v2 · doi: 10.48550/arxiv.2601.08826 · pith_short_12: AZGDVAGTPYKJ · pith_short_16: AZGDVAGTPYKJB6XN · pith_short_8: AZGDVAGT

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/AZGDVAGTPYKJB6XNNZ3JIBTALY \
  | 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: 064c3a80d37e1490faed6e769406605e300475923e4ba751264551d18b740fb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d5785f717e83e5a338b6078180dc26de83e86dcd764e3898ca63ff07bc004c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-01-13T18:58:20Z",
    "title_canon_sha256": "f2955b949bda729589a496961f406ea3e64f6d64ca9711927cd512a86a63770b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.08826",
    "kind": "arxiv",
    "version": 2
  }
}