Pith Number

pith:APG36QPR

pith:2017:APG36QPRO76P7PXAIAHNWL3LVK

not attested not anchored not stored refs pending

The Dirichlet-to-Neumann operator for quantum graphs

Leonid Friedlander

arxiv:1712.08223 v1 · 2017-12-21 · 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{APG36QPRO76P7PXAIAHNWL3LVK}

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	2026-05-18T00:27:24.090833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cdbf41f177fcffbee0400edb2f6baa8873891bc6623d61813a7dc18c9376f6

Aliases

arxiv: 1712.08223 · arxiv_version: 1712.08223v1 · doi: 10.48550/arxiv.1712.08223 · pith_short_12: APG36QPRO76P · pith_short_16: APG36QPRO76P7PXA · pith_short_8: APG36QPR

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/APG36QPRO76P7PXAIAHNWL3LVK \
  | 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: 03cdbf41f177fcffbee0400edb2f6baa8873891bc6623d61813a7dc18c9376f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b308d2d02b66f19e2763874f9b432bd030a10ebecb28fa60aa24e1c34130767e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-21T21:37:38Z",
    "title_canon_sha256": "199e76ba7c2622df38167c56c39f9ee028775e513b9605185ac43c8d3098775e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08223",
    "kind": "arxiv",
    "version": 1
  }
}