Pith Number

pith:JIV5UCH4

pith:2011:JIV5UCH4TCRTOXBEGLNL7YNELX

not attested not anchored not stored refs pending

On the connection between the number of nodal domains on quantum graphs and the stability of graph partitions

Gregory Berkolaiko, Hillel Raz, Ram Band, Uzy Smilansky

arxiv:1103.1423 v1 · 2011-03-08 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIV5UCH4TCRTOXBEGLNL7YNELX}

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	2026-05-18T03:31:54.543574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a2bda08fc98a3375c2432dabfe1a45dfa3b45874fba77ba669fe831361a2c35

Aliases

arxiv: 1103.1423 · arxiv_version: 1103.1423v1 · doi: 10.48550/arxiv.1103.1423 · pith_short_12: JIV5UCH4TCRT · pith_short_16: JIV5UCH4TCRTOXBE · pith_short_8: JIV5UCH4

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/JIV5UCH4TCRTOXBEGLNL7YNELX \
  | 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: 4a2bda08fc98a3375c2432dabfe1a45dfa3b45874fba77ba669fe831361a2c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8697f416e894ed79bff6c78d618c949aabcc1b0b59246aab861b627ec32620",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-08T02:58:26Z",
    "title_canon_sha256": "b74c43a2664a03c1606d605fa290f5e26dfdfd13e76494c627900c1f469551a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1423",
    "kind": "arxiv",
    "version": 1
  }
}