Pith Number

pith:QFW2MVCK

pith:2017:QFW2MVCKXHTKAJUFJV5TDFZEAP

not attested not anchored not stored refs pending

Nodal Statistics On Quantum Graphs

Gregory Berkolaiko, Lior Alon, Ram Band

arxiv:1709.10413 v2 · 2017-09-29 · 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{QFW2MVCKXHTKAJUFJV5TDFZEAP}

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	2026-05-18T00:19:26.529083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816da6544ab9e6a026854d7b31972403c0bfb51cd5bc7b2bafe6941dd450aec4

Aliases

arxiv: 1709.10413 · arxiv_version: 1709.10413v2 · doi: 10.48550/arxiv.1709.10413 · pith_short_12: QFW2MVCKXHTK · pith_short_16: QFW2MVCKXHTKAJUF · pith_short_8: QFW2MVCK

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/QFW2MVCKXHTKAJUFJV5TDFZEAP \
  | 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: 816da6544ab9e6a026854d7b31972403c0bfb51cd5bc7b2bafe6941dd450aec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b3ef3b5cb74cdea0340ee0cbc49ee76ef12ba677be18231696a5bb5f84923e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-09-29T13:59:31Z",
    "title_canon_sha256": "59e8cfaa7771843eff2320812387d2cd0ed8f383425351211534eff917f622ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10413",
    "kind": "arxiv",
    "version": 2
  }
}