Pith Number

pith:GQIEV74H

pith:2018:GQIEV74HXLYDAGJCXJ3QNIILV6

not attested not anchored not stored refs pending

Dunford--Pettis type properties and the Grothendieck property for function spaces

Jerzy K\c{a}kol, Saak Gabriyelyan

arxiv:1809.08982 v1 · 2018-09-24 · 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{GQIEV74HXLYDAGJCXJ3QNIILV6}

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	2026-05-18T00:05:03.024770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34104aff87baf0301922ba7706a10baf913d26509a60baa4ddb442258e6aca7a

Aliases

arxiv: 1809.08982 · arxiv_version: 1809.08982v1 · doi: 10.48550/arxiv.1809.08982 · pith_short_12: GQIEV74HXLYD · pith_short_16: GQIEV74HXLYDAGJC · pith_short_8: GQIEV74H

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/GQIEV74HXLYDAGJCXJ3QNIILV6 \
  | 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: 34104aff87baf0301922ba7706a10baf913d26509a60baa4ddb442258e6aca7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602b2a4702f5c9201f23c9e7a61b5aa21fedea88a8bbb6806c948e66c60038a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-24T15:00:41Z",
    "title_canon_sha256": "9f03201f0a87c31d884ded6ff2b5d7f13bcd442c141ae4e2b06f81cb8ba2b656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08982",
    "kind": "arxiv",
    "version": 1
  }
}