Pith Number

pith:FKIN5L4N

pith:2016:FKIN5L4NTVBIIOBX7BAE24P6US

not attested not anchored not stored refs pending

Spectral asymptotics for compact self-adjoint Hankel operators

Alexander Pushnitski, Dmitri Yafaev

arxiv:1601.01134 v1 · 2016-01-06 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKIN5L4NTVBIIOBX7BAE24P6US}

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	2026-05-18T01:23:17.799275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a90deaf8d9d42843837f8404d71fea4ac3df62c9de6a87624d30aeacb9d755f

Aliases

arxiv: 1601.01134 · arxiv_version: 1601.01134v1 · doi: 10.48550/arxiv.1601.01134 · pith_short_12: FKIN5L4NTVBI · pith_short_16: FKIN5L4NTVBIIOBX · pith_short_8: FKIN5L4N

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/FKIN5L4NTVBIIOBX7BAE24P6US \
  | 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: 2a90deaf8d9d42843837f8404d71fea4ac3df62c9de6a87624d30aeacb9d755f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713a65adffbf126dcff7f20f4b4685d51d2cffd7a0f4b781509504714fad230a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-01-06T10:53:12Z",
    "title_canon_sha256": "2a7b498af5d5715075d2cac5103ed07ab3f7a760133ae28ac0af4cf7b0adabc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01134",
    "kind": "arxiv",
    "version": 1
  }
}