Pith Number

pith:DJWB6YAC

pith:2016:DJWB6YACFEUORPBDCXCAWNULI2

not attested not anchored not stored refs pending

A remark on analytic Fredholm alternative

Leonid Golinskii, Stanislas Kupin

arxiv:1603.04431 v2 · 2016-03-14 · math.FA · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJWB6YACFEUORPBDCXCAWNULI2}

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	2026-05-18T00:54:20.550349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6c1f60022928e8bc2315c40b368b468932b878189595e1b1e50241d3f439f2

Aliases

arxiv: 1603.04431 · arxiv_version: 1603.04431v2 · doi: 10.48550/arxiv.1603.04431 · pith_short_12: DJWB6YACFEUO · pith_short_16: DJWB6YACFEUORPBD · pith_short_8: DJWB6YAC

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/DJWB6YACFEUORPBDCXCAWNULI2 \
  | 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: 1a6c1f60022928e8bc2315c40b368b468932b878189595e1b1e50241d3f439f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e69da08e7696f62d8241c7854aa9a8fcb6187b8a3bbf87b74a6be069928b5f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-14T00:48:35Z",
    "title_canon_sha256": "e3e1ae9fa68f7d7481867104b2adbe4210d40255d32f8f57b73597d691dc2c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04431",
    "kind": "arxiv",
    "version": 2
  }
}