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Pith Number

pith:MQ75QSFR

pith:2016:MQ75QSFRX6IAB2WAX27S3BRO4R
not attested not anchored not stored refs pending

Eigenvalue estimates on quantum graphs

Sinan Ariturk

arxiv:1609.07471 v1 · 2016-09-23 · math.SP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQ75QSFRX6IAB2WAX27S3BRO4R}

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 2026-05-18T01:04:00.772402Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

643fd848b1bf9000eac0bebf2d862ee46125d6785feaf18d895e6a4fb6fe030b

Aliases

arxiv: 1609.07471 · arxiv_version: 1609.07471v1 · doi: 10.48550/arxiv.1609.07471 · pith_short_12: MQ75QSFRX6IA · pith_short_16: MQ75QSFRX6IAB2WA · pith_short_8: MQ75QSFR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQ75QSFRX6IAB2WAX27S3BRO4R \
  | 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: 643fd848b1bf9000eac0bebf2d862ee46125d6785feaf18d895e6a4fb6fe030b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d39ec984b23db2ca60c3394bb25fb1bdadd80785809ac42fae27413e63fd9cfa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-23T19:34:05Z",
    "title_canon_sha256": "0c3843fbbf6e75728211e1b259d8ce0da021b51f72f8567cc058e3b5071dd3b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07471",
    "kind": "arxiv",
    "version": 1
  }
}