Pith Number

pith:FI7IMNW3

pith:2017:FI7IMNW3YRVFC6YQ47XCECKCZD

not attested not anchored not stored refs pending

Courant's Nodal Domain Theorem for Positivity Preserving Forms

Matthias Keller, Michael Schwarz

arxiv:1712.07414 v1 · 2017-12-20 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FI7IMNW3YRVFC6YQ47XCECKCZD}

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	2026-05-18T00:27:34.538985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a3e8636dbc46a517b10e7ee220942c8e40f6ee25d6b4c0b8d95c70544d8ecbb

Aliases

arxiv: 1712.07414 · arxiv_version: 1712.07414v1 · doi: 10.48550/arxiv.1712.07414 · pith_short_12: FI7IMNW3YRVF · pith_short_16: FI7IMNW3YRVFC6YQ · pith_short_8: FI7IMNW3

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/FI7IMNW3YRVFC6YQ47XCECKCZD \
  | 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: 2a3e8636dbc46a517b10e7ee220942c8e40f6ee25d6b4c0b8d95c70544d8ecbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb6f26c8aaac52e427f0cf66f91037118fcdae47941236ab11e9dcd6af64c06",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-20T11:02:26Z",
    "title_canon_sha256": "a193168f5264befd3911da65dd9c48a60c48d3f6e450fe5862aae4f2b186e950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07414",
    "kind": "arxiv",
    "version": 1
  }
}