Pith Number

pith:Q534CTHS

pith:2013:Q534CTHSTULEHF7ZPMAVAOO42W

not attested not anchored not stored refs pending

Quantum graphs whose spectra mimic the zeros of the Riemann zeta function

Jack Kuipers, Klaus Richter, Quirin Hummel

arxiv:1307.6055 v2 · 2013-07-23 · nlin.CD · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q534CTHSTULEHF7ZPMAVAOO42W}

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	2026-05-18T02:57:45.001802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8777c14cf29d164397f97b015039dcd5a13b77a203cd288d122b33b52991bf62

Aliases

arxiv: 1307.6055 · arxiv_version: 1307.6055v2 · doi: 10.48550/arxiv.1307.6055 · pith_short_12: Q534CTHSTULE · pith_short_16: Q534CTHSTULEHF7Z · pith_short_8: Q534CTHS

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/Q534CTHSTULEHF7ZPMAVAOO42W \
  | 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: 8777c14cf29d164397f97b015039dcd5a13b77a203cd288d122b33b52991bf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09dcbe4618d997a3cd8a0e685ced17c82178e5e14711d1e68e110759f35eb94",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-07-23T13:05:58Z",
    "title_canon_sha256": "5227b8dd2157f0e3e14952376a8fdaa9034d0abc529fbcebfc1b4e42a8e09a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6055",
    "kind": "arxiv",
    "version": 2
  }
}