Pith Number

pith:R54GGH3T

pith:2016:R54GGH3TIYHE3HZAAXOEAZQEM7

not attested not anchored not stored refs pending

Summation formula inequalities for eigenvalues of Schr\"odinger operators

James B. Kennedy, Pedro Freitas

arxiv:1605.01925 v1 · 2016-05-06 · 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{R54GGH3TIYHE3HZAAXOEAZQEM7}

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	2026-05-18T01:15:30.932641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f78631f73460e4d9f2005dc40660467d73cb4ec6a73a79d7597d2f4be3f7058

Aliases

arxiv: 1605.01925 · arxiv_version: 1605.01925v1 · doi: 10.48550/arxiv.1605.01925 · pith_short_12: R54GGH3TIYHE · pith_short_16: R54GGH3TIYHE3HZA · pith_short_8: R54GGH3T

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/R54GGH3TIYHE3HZAAXOEAZQEM7 \
  | 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: 8f78631f73460e4d9f2005dc40660467d73cb4ec6a73a79d7597d2f4be3f7058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49df7f65f5a3facf1ec72039d6f1ce3525b2bc1a7218fdf852ff87cf58575f9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-05-06T13:02:05Z",
    "title_canon_sha256": "4e0085ab7c64ad629ac8f39e79497cdf5325dfd4ee4131fa7d032db57e1e3eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01925",
    "kind": "arxiv",
    "version": 1
  }
}