Pith Number

pith:BCAFNC6D

pith:2025:BCAFNC6DJWXHWUDDK6LEFZYPFQ

not attested not anchored not stored refs pending

Spectral statistics of preferred orientation quantum graphs

Aviya Strauss, Divya Goel, Pavel Exner, Ram Band

arxiv:2508.04869 v1 · 2025-08-06 · math.SP · 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{BCAFNC6DJWXHWUDDK6LEFZYPFQ}

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	2026-07-05T11:50:03.263247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0880568bc34dae7b5063579642e70f2c23db3d018ce23f3b37cb6367e363c76b

Aliases

arxiv: 2508.04869 · arxiv_version: 2508.04869v1 · doi: 10.48550/arxiv.2508.04869 · pith_short_12: BCAFNC6DJWXH · pith_short_16: BCAFNC6DJWXHWUDD · pith_short_8: BCAFNC6D

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/BCAFNC6DJWXHWUDDK6LEFZYPFQ \
  | 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: 0880568bc34dae7b5063579642e70f2c23db3d018ce23f3b37cb6367e363c76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a0803a5484be47a6ed4a3e3694ad0e521e975e161513a073f861edffaa1fea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-08-06T20:45:26Z",
    "title_canon_sha256": "2a828daa231794d471a5a46eccf3341c052d30965861370b18df1d7921ad0c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04869",
    "kind": "arxiv",
    "version": 1
  }
}