Pith Number

pith:C2ANNC2M

pith:2018:C2ANNC2MROBQBEC5U7TC7PZUY3

not attested not anchored not stored refs pending

A note on eigenvalue bounds for Schr\"odinger operators

Ihyeok Seo, Yoonjung Lee

arxiv:1808.04578 v2 · 2018-08-14 · 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{C2ANNC2MROBQBEC5U7TC7PZUY3}

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	2026-05-18T00:03:55.523004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1680d68b4c8b8300905da7e62fbf34c6ecb943615f7b552acd09bd41f5c2910e

Aliases

arxiv: 1808.04578 · arxiv_version: 1808.04578v2 · doi: 10.48550/arxiv.1808.04578 · pith_short_12: C2ANNC2MROBQ · pith_short_16: C2ANNC2MROBQBEC5 · pith_short_8: C2ANNC2M

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/C2ANNC2MROBQBEC5U7TC7PZUY3 \
  | 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: 1680d68b4c8b8300905da7e62fbf34c6ecb943615f7b552acd09bd41f5c2910e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54c1019dafe54d36272bf6718de9656849cfdbf529d26370e27bc51a06bc7cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-14T08:19:51Z",
    "title_canon_sha256": "42f1edc8402d0677605d2a08c65b71303d085feeca634c186f92abf9c3869378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04578",
    "kind": "arxiv",
    "version": 2
  }
}