Pith Number

pith:42I6OWGV

pith:2015:42I6OWGVRGWPZSHUMO4DAHKPKL

not attested not anchored not stored refs pending

On sums of eigenvalues of elliptic operators on manifolds

Ahmad El Soufi (LMPT), Evans Harrell, Joachim Stubbe, Said Ilias (LMPT)

arxiv:1507.02632 v2 · 2015-07-09 · math.MG · 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{42I6OWGVRGWPZSHUMO4DAHKPKL}

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	2026-05-18T01:23:50.564695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e691e758d589acfcc8f463b8301d4f52e11549c1baccbe906b21a55d01e1b695

Aliases

arxiv: 1507.02632 · arxiv_version: 1507.02632v2 · doi: 10.48550/arxiv.1507.02632 · pith_short_12: 42I6OWGVRGWP · pith_short_16: 42I6OWGVRGWPZSHU · pith_short_8: 42I6OWGV

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/42I6OWGVRGWPZSHUMO4DAHKPKL \
  | 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: e691e758d589acfcc8f463b8301d4f52e11549c1baccbe906b21a55d01e1b695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4341085c5bb7e16baf8768f1070b1ea841b78f36f7639fc201e437feb30e4cfb",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-09T18:22:59Z",
    "title_canon_sha256": "d046ce60bcd987cd64781032ab159eac890c1343e9f3ce6bff9d8a01e74e3be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02632",
    "kind": "arxiv",
    "version": 2
  }
}