Pith Number

pith:RPASPH3K

pith:2011:RPASPH3KG2W7UHJWJTGD274YTA

not attested not anchored not stored refs pending

Riesz bases consisting of root functions of 1D Dirac operators

Boris Mityagin, Plamen Djakov

arxiv:1108.4225 v1 · 2011-08-22 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPASPH3KG2W7UHJWJTGD274YTA}

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	2026-05-18T04:14:55.906850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc1279f6a36adfa1d364ccc3d7f98981caf27c6d75f7742a6e6a4bc152de3c3

Aliases

arxiv: 1108.4225 · arxiv_version: 1108.4225v1 · doi: 10.48550/arxiv.1108.4225 · pith_short_12: RPASPH3KG2W7 · pith_short_16: RPASPH3KG2W7UHJW · pith_short_8: RPASPH3K

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/RPASPH3KG2W7UHJWJTGD274YTA \
  | 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: 8bc1279f6a36adfa1d364ccc3d7f98981caf27c6d75f7742a6e6a4bc152de3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c704164dbd890a842ef4a95d24e0bb7f76f51d14058f4a4ffed8636bbb9d00a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-08-22T01:04:07Z",
    "title_canon_sha256": "34d28305bca4d0ad3e636ebe9ac326efe07cdf0611617d9da98681f62fa6994b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4225",
    "kind": "arxiv",
    "version": 1
  }
}