Pith Number

pith:4TFLBONS

pith:2026:4TFLBONSJQCDFV3UKEC2IS3X4O

not attested not anchored not stored refs pending

Iwasawa-Type Spectral Resultant Growth Laws for Grover Walks on Graph Towers

Jir\^o Akahori, Ryoichi Suzuki, Taro Hayashi

arxiv:2607.02011 v1 · 2026-07-02 · 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{4TFLBONSJQCDFV3UKEC2IS3X4O}

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	2026-07-03T01:17:37.004767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4cab0b9b24c0432d7745105a44b77e39d4e9410198e3778abc579f87fc7008a

Aliases

arxiv: 2607.02011 · arxiv_version: 2607.02011v1 · doi: 10.48550/arxiv.2607.02011 · pith_short_12: 4TFLBONSJQCD · pith_short_16: 4TFLBONSJQCDFV3U · pith_short_8: 4TFLBONS

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/4TFLBONSJQCDFV3UKEC2IS3X4O \
  | 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: e4cab0b9b24c0432d7745105a44b77e39d4e9410198e3778abc579f87fc7008a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add11814297bd8da76838491b467aa02bbffcb2183cbbedc3f9a48f512a5e858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T10:45:43Z",
    "title_canon_sha256": "d1130013697f2ba2983d8c7a7ff6334cba5dcf28276d011370688de87eada268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02011",
    "kind": "arxiv",
    "version": 1
  }
}