Pith Number

pith:D5LHABIK

pith:2014:D5LHABIKIRLKT2IOHLRV72RFDD

not attested not anchored not stored refs pending

The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator

Daguang Chen, He-Jun Sun

arxiv:1407.3972 v1 · 2014-07-15 · math-ph · math.MP · 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{D5LHABIKIRLKT2IOHLRV72RFDD}

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	2026-05-18T02:47:32.188933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5670050a4456a9e90e3ae35fea2518de7fe3ff3b739da4a7665db1ec0528c4

Aliases

arxiv: 1407.3972 · arxiv_version: 1407.3972v1 · doi: 10.48550/arxiv.1407.3972 · pith_short_12: D5LHABIKIRLK · pith_short_16: D5LHABIKIRLKT2IO · pith_short_8: D5LHABIK

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/D5LHABIKIRLKT2IOHLRV72RFDD \
  | 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: 1f5670050a4456a9e90e3ae35fea2518de7fe3ff3b739da4a7665db1ec0528c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced6cdd1b69d135cb5f9cab1d8eababb23ed605f6d30243dc71457c328521aae",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-15T13:00:52Z",
    "title_canon_sha256": "9160f7cc9b85e30adb1b76636f1714c3bdd5698cf678ab6ee7762b1d98b2885e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3972",
    "kind": "arxiv",
    "version": 1
  }
}