Pith Number

pith:TMQW5DLH

pith:2017:TMQW5DLHOCWY2576U5LW5YR56Y

not attested not anchored not stored refs pending

Operator ideals and three-space properties of asymptotic ideal seminorms

Ryan M. Causey, Szymon Draga, Tomasz Kochanek

arxiv:1712.04208 v2 · 2017-12-12 · 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{TMQW5DLHOCWY2576U5LW5YR56Y}

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	2026-05-18T00:00:30.782089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b216e8d6770ad8d77fea7576ee23df630d02c93a5a4e11f8374a0f08ae96ba5

Aliases

arxiv: 1712.04208 · arxiv_version: 1712.04208v2 · doi: 10.48550/arxiv.1712.04208 · pith_short_12: TMQW5DLHOCWY · pith_short_16: TMQW5DLHOCWY2576 · pith_short_8: TMQW5DLH

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/TMQW5DLHOCWY2576U5LW5YR56Y \
  | 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: 9b216e8d6770ad8d77fea7576ee23df630d02c93a5a4e11f8374a0f08ae96ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9c2938638e4b610b04ae465d4a1efcc17f935d4185213d2a35964e1eb525cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-12T10:22:15Z",
    "title_canon_sha256": "553123586b0e9bb726731c696f15abdd7f940a337d76185951c99899f100ac8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04208",
    "kind": "arxiv",
    "version": 2
  }
}