Pith Number

pith:7TEWYA5Q

pith:2016:7TEWYA5QF2AQKAAN7J2Q77RM5A

not attested not anchored not stored refs pending

The Kunz-Souillard approach to localization for Jacobi operators

Valmir Bucaj

arxiv:1609.05703 v1 · 2016-09-19 · 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{7TEWYA5QF2AQKAAN7J2Q77RM5A}

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	2026-05-18T01:04:25.611829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc96c03b02e8105000dfa750ffe2ce8372899f955878b244a6e3706a475d0f8

Aliases

arxiv: 1609.05703 · arxiv_version: 1609.05703v1 · doi: 10.48550/arxiv.1609.05703 · pith_short_12: 7TEWYA5QF2AQ · pith_short_16: 7TEWYA5QF2AQKAAN · pith_short_8: 7TEWYA5Q

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/7TEWYA5QF2AQKAAN7J2Q77RM5A \
  | 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: fcc96c03b02e8105000dfa750ffe2ce8372899f955878b244a6e3706a475d0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b4497ed056b4283130d5f954b3e591dca683eca3b70d0cbcf006afcd14a897",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-19T13:11:46Z",
    "title_canon_sha256": "e36abf368e02f17d5ed684dec7840e7ae64db722fdf3f9d57a6cb368b9f2e05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05703",
    "kind": "arxiv",
    "version": 1
  }
}