Pith Number

pith:Z5AIDKJH

pith:2019:Z5AIDKJHSRAUZLNYEIRXZ22AD4

not attested not anchored not stored refs pending

Embeddability, representability and universality involving Banach spaces

M. A. Sofi

arxiv:1907.07369 v1 · 2019-07-17 · 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{Z5AIDKJHSRAUZLNYEIRXZ22AD4}

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	2026-05-17T23:40:22.474173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4081a92794414cadb822237ceb401f36a5f72660043f600cf40bcd470a8cab

Aliases

arxiv: 1907.07369 · arxiv_version: 1907.07369v1 · doi: 10.48550/arxiv.1907.07369 · pith_short_12: Z5AIDKJHSRAU · pith_short_16: Z5AIDKJHSRAUZLNY · pith_short_8: Z5AIDKJH

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/Z5AIDKJHSRAUZLNYEIRXZ22AD4 \
  | 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: cf4081a92794414cadb822237ceb401f36a5f72660043f600cf40bcd470a8cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277d40ca88eadf32945a04a4816a8124dd203c885cef5e505a80cedecf63f9b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-17T07:45:05Z",
    "title_canon_sha256": "7cce2c9043f7e1a115aed6687cb604e15712834d7e7a9e9f9e35132e8502c14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07369",
    "kind": "arxiv",
    "version": 1
  }
}