Pith Number

pith:JI3S5TT4

pith:2017:JI3S5TT4ABIZSYBQ7FVT7XVC2B

not attested not anchored not stored refs pending

Pointwise amenability for dual Banach algebras

Amin Mahmoodi, Mannane Shakeri

arxiv:1706.07088 v1 · 2017-06-21 · 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{JI3S5TT4ABIZSYBQ7FVT7XVC2B}

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	2026-05-18T00:41:52.652921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a372ece7c0051996030f96b3fdea2d0589d7f8d25740e7032a2b05db67730ef

Aliases

arxiv: 1706.07088 · arxiv_version: 1706.07088v1 · doi: 10.48550/arxiv.1706.07088 · pith_short_12: JI3S5TT4ABIZ · pith_short_16: JI3S5TT4ABIZSYBQ · pith_short_8: JI3S5TT4

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/JI3S5TT4ABIZSYBQ7FVT7XVC2B \
  | 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: 4a372ece7c0051996030f96b3fdea2d0589d7f8d25740e7032a2b05db67730ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0bff9be0e6bbe47a71dc798bcbdcfaf9df41c2dbdb71da8b333516c9b571a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-21T19:06:26Z",
    "title_canon_sha256": "c42b0964b1aab6f6720b10718d74264a0fec77bbf3b58b9a5e554201722948f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07088",
    "kind": "arxiv",
    "version": 1
  }
}