Pith Number

pith:2XDYWFDO

pith:2015:2XDYWFDO76YDUMPQBD55QB6NPF

not attested not anchored not stored refs pending

Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval

Jacek Ma{\l}ecki, Kamil Kaleta, Mateusz Kwa\'snicki

arxiv:1507.05483 v1 · 2015-07-20 · math.SP · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XDYWFDO76YDUMPQBD55QB6NPF}

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	2026-05-18T00:50:52.465353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c78b146effb03a31f008fbd807cd79723883280af5d2d368bdc3fc03bb9a16

Aliases

arxiv: 1507.05483 · arxiv_version: 1507.05483v1 · doi: 10.48550/arxiv.1507.05483 · pith_short_12: 2XDYWFDO76YD · pith_short_16: 2XDYWFDO76YDUMPQ · pith_short_8: 2XDYWFDO

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/2XDYWFDO76YDUMPQBD55QB6NPF \
  | 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: d5c78b146effb03a31f008fbd807cd79723883280af5d2d368bdc3fc03bb9a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b42cb5d2154c602142646c0800ecebf0686f7c13a6310c689281678e3ac8fed",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-20T13:13:47Z",
    "title_canon_sha256": "a556e0396724c2454f601df9706ff278ccf62687185cb110bd09b9f75a83ce20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05483",
    "kind": "arxiv",
    "version": 1
  }
}