Pith Number

pith:BKDBFAOK

pith:2016:BKDBFAOKH5OEJDRFQMDL7P5D7N

not attested not anchored not stored refs pending

The spectral estimates for the Neumann-Laplace operator in space domains

Alexander Ukhlov, Vladimir Gol'dshtein

arxiv:1607.00487 v3 · 2016-07-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKDBFAOKH5OEJDRFQMDL7P5D7N}

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	2026-05-18T00:44:52.394541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a861281ca3f5c448e258306bfbfa3fb7e3df1cf5c8cd9bd0d70e42a2d45bf78

Aliases

arxiv: 1607.00487 · arxiv_version: 1607.00487v3 · doi: 10.48550/arxiv.1607.00487 · pith_short_12: BKDBFAOKH5OE · pith_short_16: BKDBFAOKH5OEJDRF · pith_short_8: BKDBFAOK

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/BKDBFAOKH5OEJDRFQMDL7P5D7N \
  | 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: 0a861281ca3f5c448e258306bfbfa3fb7e3df1cf5c8cd9bd0d70e42a2d45bf78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e99e666e2775d9c1f36a627d203c85127d56654bdb3eee1aa8666041676e8ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-02T10:15:25Z",
    "title_canon_sha256": "351cd3aa9e5a68ec43c68410827a632be27ce548ac981de13bcd059b491bdecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00487",
    "kind": "arxiv",
    "version": 3
  }
}