Pith Number

pith:GMDIRRNI

pith:2011:GMDIRRNIHLMG4M7GVIUKMXQQNO

not attested not anchored not stored refs pending

On the relation between quantum walks and zeta functions

Iwao Sato, Norio Konno

arxiv:1103.0079 v2 · 2011-03-01 · quant-ph · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMDIRRNIHLMG4M7GVIUKMXQQNO}

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	2026-05-18T03:07:52.993678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330688c5a83ad86e33e6aa28a65e106bbca9222f13f9d1ab968fb4f9c3dee83d

Aliases

arxiv: 1103.0079 · arxiv_version: 1103.0079v2 · doi: 10.48550/arxiv.1103.0079 · pith_short_12: GMDIRRNIHLMG · pith_short_16: GMDIRRNIHLMG4M7G · pith_short_8: GMDIRRNI

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/GMDIRRNIHLMG4M7GVIUKMXQQNO \
  | 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: 330688c5a83ad86e33e6aa28a65e106bbca9222f13f9d1ab968fb4f9c3dee83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ece62c766fb1d2e7a6f8b4079a8e06ee84aae62c94eedb9688de6d9ab99bb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-01T04:42:02Z",
    "title_canon_sha256": "9132d8422eeccd62af9900d63af5711a8103ccbeefab05a148ad8b9ff0a21832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0079",
    "kind": "arxiv",
    "version": 2
  }
}