Pith Number

pith:E6ZBJP42

pith:2013:E6ZBJP42JSGII7MTNADXCQYFMD

not attested not anchored not stored refs pending

Complete sets and completion of sets in Banach spaces

Horst Martini, Margarita Spirova, Pier Luigi Papini

arxiv:1308.0789 v1 · 2013-08-04 · math.MG · 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{E6ZBJP42JSGII7MTNADXCQYFMD}

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	2026-05-18T03:16:48.161614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b214bf9a4c8c847d93680771430560fef33dddccdf1efc836361a98aca8e22

Aliases

arxiv: 1308.0789 · arxiv_version: 1308.0789v1 · doi: 10.48550/arxiv.1308.0789 · pith_short_12: E6ZBJP42JSGI · pith_short_16: E6ZBJP42JSGII7MT · pith_short_8: E6ZBJP42

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/E6ZBJP42JSGII7MTNADXCQYFMD \
  | 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: 27b214bf9a4c8c847d93680771430560fef33dddccdf1efc836361a98aca8e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a310de9f2a6bd4fb5d98864062aabed3e3cb7f13b505de5fb0622f507794acd0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-04T08:55:54Z",
    "title_canon_sha256": "a672d306456892d8dabeb91802c91c7c6278ca023cb92be7b501c56cce327c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0789",
    "kind": "arxiv",
    "version": 1
  }
}