Pith Number

pith:DDTFFM4N

pith:2015:DDTFFM4NX3KYNR5JZY5N2QJY7K

not attested not anchored not stored refs pending

Courant-sharp eigenvalues of Neumann 2-rep-tiles

David Fajman, Michael Bersudsky, Ram Band

arxiv:1507.03410 v3 · 2015-07-13 · 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{DDTFFM4NX3KYNR5JZY5N2QJY7K}

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	2026-05-18T00:55:52.274590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e652b38dbed586c7a9ce3add4138fa821b780c639e164bae634c7a1abe5788

Aliases

arxiv: 1507.03410 · arxiv_version: 1507.03410v3 · doi: 10.48550/arxiv.1507.03410 · pith_short_12: DDTFFM4NX3KY · pith_short_16: DDTFFM4NX3KYNR5J · pith_short_8: DDTFFM4N

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/DDTFFM4NX3KYNR5JZY5N2QJY7K \
  | 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: 18e652b38dbed586c7a9ce3add4138fa821b780c639e164bae634c7a1abe5788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34e62cf2bad9781e481e6ccde98b762645a6515397ae2b42b372e38b08febc57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-13T12:00:39Z",
    "title_canon_sha256": "803d87f2c27c7c17741a2e278f2a9c7ffabbf7450330cd66bf15d6a53096b726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03410",
    "kind": "arxiv",
    "version": 3
  }
}