Pith Number

pith:FBEM33T7

pith:2015:FBEM33T75PQZOCCUCH75WEK45H

not attested not anchored not stored refs pending

The Dvoretsky-Rogers Theorem for vector valued integrals on function spaces

E.A. Sanchez-Perez, P. Rueda

arxiv:1507.03033 v1 · 2015-07-10 · 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{FBEM33T75PQZOCCUCH75WEK45H}

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	2026-05-18T01:37:01.177172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2848cdee7febe197085411ffdb115ce9d5c6fd004863d92709b17cd7c387374c

Aliases

arxiv: 1507.03033 · arxiv_version: 1507.03033v1 · doi: 10.48550/arxiv.1507.03033 · pith_short_12: FBEM33T75PQZ · pith_short_16: FBEM33T75PQZOCCU · pith_short_8: FBEM33T7

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/FBEM33T75PQZOCCUCH75WEK45H \
  | 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: 2848cdee7febe197085411ffdb115ce9d5c6fd004863d92709b17cd7c387374c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cff6727aadb5f9ce4208588d24db87e7d4ccee630f7fd62bcc0a3288cc13e7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-10T21:02:13Z",
    "title_canon_sha256": "62a1539d79c73103751779c072c44e5601983d2bb4799ab3d1cb9a3d713a7c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03033",
    "kind": "arxiv",
    "version": 1
  }
}