Pith Number

pith:D7EV2TSH

pith:2026:D7EV2TSHZ4GGNSTWORVLKR3UVR

not attested not anchored not stored refs pending

Amenability constants for unconditional sums of Banach algebras

Jerzy K\k{a}kol, Tomasz Kania

arxiv:2601.06680 v2 · 2026-01-10 · 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{D7EV2TSHZ4GGNSTWORVLKR3UVR}

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	2026-07-02T00:18:26.783200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc95d4e47cf0c66ca76746ab54774ac68323672f48ffb9ed3f6b2f2b65c5fad

Aliases

arxiv: 2601.06680 · arxiv_version: 2601.06680v2 · doi: 10.48550/arxiv.2601.06680 · pith_short_12: D7EV2TSHZ4GG · pith_short_16: D7EV2TSHZ4GGNSTW · pith_short_8: D7EV2TSH

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/D7EV2TSHZ4GGNSTWORVLKR3UVR \
  | 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: 1fc95d4e47cf0c66ca76746ab54774ac68323672f48ffb9ed3f6b2f2b65c5fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cde2db7ede6eb08b6fdba87cb5c0a1121002ebac833ea1af06ddad6875f3908",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-01-10T20:35:59Z",
    "title_canon_sha256": "8684234b534fba463a3d54779f03ed60bd5e3726902bb82a9e111e6feb1e927f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.06680",
    "kind": "arxiv",
    "version": 2
  }
}