Pith Number

pith:IM6IO2DM

pith:2012:IM6IO2DMIEMQ7DP3NBF2PYHQPR

not attested not anchored not stored refs pending

Quantification of the reciprocal Dunford-Pettis property

Ji\v{r}\'i Spurn\'y, Ond\v{r}ej F.K. Kalenda

arxiv:1204.4308 v1 · 2012-04-19 · 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{IM6IO2DMIEMQ7DP3NBF2PYHQPR}

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	2026-05-18T03:40:36.397386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

433c87686c41190f8dfb684ba7e0f07c60b92163ada6ad21b2d578387e5a38ed

Aliases

arxiv: 1204.4308 · arxiv_version: 1204.4308v1 · doi: 10.48550/arxiv.1204.4308 · pith_short_12: IM6IO2DMIEMQ · pith_short_16: IM6IO2DMIEMQ7DP3 · pith_short_8: IM6IO2DM

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/IM6IO2DMIEMQ7DP3NBF2PYHQPR \
  | 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: 433c87686c41190f8dfb684ba7e0f07c60b92163ada6ad21b2d578387e5a38ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dde7e1ffc74bae447fa5c5d433034ef452d6bdfc52d7c5a7c0c4e685efca2c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-19T10:58:16Z",
    "title_canon_sha256": "69c4238bde9302b46a1322addebbf4aeec506d55f10ddb7d7d79c5b10c685d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4308",
    "kind": "arxiv",
    "version": 1
  }
}