Pith Number

pith:ZT6KZX4S

pith:1996:ZT6KZX4SKPNLBOHY3XGBIDBAVM

not attested not anchored not stored refs pending

Composition of operator ideals and their regular hulls

Frank Oertel

arxiv:math/9604219 v1 · 1996-04-24 · 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{ZT6KZX4SKPNLBOHY3XGBIDBAVM}

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	2026-05-18T01:05:47.625140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfcacdf9253dab0b8f8ddcc140c20ab25c507e727845645f90b9c8018dab373

Aliases

arxiv: math/9604219 · arxiv_version: math/9604219v1 · doi: 10.48550/arxiv.math/9604219 · pith_short_12: ZT6KZX4SKPNL · pith_short_16: ZT6KZX4SKPNLBOHY · pith_short_8: ZT6KZX4S

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/ZT6KZX4SKPNLBOHY3XGBIDBAVM \
  | 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: ccfcacdf9253dab0b8f8ddcc140c20ab25c507e727845645f90b9c8018dab373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7317b14eb25e8db9ebb16410e6ff5fbfa664e9e8ff966b570145f3787e50753",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-04-24T00:00:00Z",
    "title_canon_sha256": "6ccff8690a1e2ac8c2bd5d871c7f9a9068c46b78448f0862d66edfd12eb2366e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9604219",
    "kind": "arxiv",
    "version": 1
  }
}