Pith Number

pith:LXGND7R5

pith:2026:LXGND7R5C4SRQ55UUBB4ZX3VF6

not attested not anchored not stored refs pending

Some aspects of the spectral theory with twisting representations

Anke Pohl

arxiv:2607.22164 v1 · 2026-07-24 · math.SP · 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{LXGND7R5C4SRQ55UUBB4ZX3VF6}

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	2026-07-27T01:20:51.436013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dccd1fe3d17251877b4a043ccdf752fae3d45793f858c8c114a8b0d5f06dc83

Aliases

arxiv: 2607.22164 · arxiv_version: 2607.22164v1 · doi: 10.48550/arxiv.2607.22164 · pith_short_12: LXGND7R5C4SR · pith_short_16: LXGND7R5C4SRQ55U · pith_short_8: LXGND7R5

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/LXGND7R5C4SRQ55UUBB4ZX3VF6 \
  | 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: 5dccd1fe3d17251877b4a043ccdf752fae3d45793f858c8c114a8b0d5f06dc83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d5bc999930a6ff52f5eb30a8cff143dbdac117dab7e23094b4d6a9bc086ebb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-07-24T10:10:09Z",
    "title_canon_sha256": "efe2142a58fe62c34c860bef645eea6469d8e3f04f4bfb5a54a35fbe640d69dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22164",
    "kind": "arxiv",
    "version": 1
  }
}