Pith Number

pith:NNE7IXRZ

pith:2018:NNE7IXRZ3FPX55XPVICKIJVDSZ

not attested not anchored not stored refs pending

Singularity of the $n$-th eigenvalue of high dimensional Sturm-Liouville problems

Hao Zhu, Lei Liu, Li Wu, Xijun Hu

arxiv:1805.00253 v2 · 2018-05-01 · 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{NNE7IXRZ3FPX55XPVICKIJVDSZ}

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	2026-05-18T00:13:44.319677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b49f45e39d95f7ef6efaa04a426a396643659c61233512193f8b1c73e11c3fb

Aliases

arxiv: 1805.00253 · arxiv_version: 1805.00253v2 · doi: 10.48550/arxiv.1805.00253 · pith_short_12: NNE7IXRZ3FPX · pith_short_16: NNE7IXRZ3FPX55XP · pith_short_8: NNE7IXRZ

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/NNE7IXRZ3FPX55XPVICKIJVDSZ \
  | 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: 6b49f45e39d95f7ef6efaa04a426a396643659c61233512193f8b1c73e11c3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58acdb580f28f9371fea96f82b5ebd7ac017f8d77e47a67a1041acfbd3618ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-05-01T09:24:08Z",
    "title_canon_sha256": "eeb08025e96596a8dbc6110241362e68b7132bf34ad7aede81489125b5c4fe92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00253",
    "kind": "arxiv",
    "version": 2
  }
}