Pith Number

pith:EOA4G2D4

pith:2012:EOA4G2D4KX7FXLLJXIFDFURFZ6

not attested not anchored not stored refs pending

Spaceability in sets of operators on $C(K)$

Leonardo Pellegrini, Pedro Kaufmann, Rog\'erio Fajardo

arxiv:1203.6855 v2 · 2012-03-30 · 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{EOA4G2D4KX7FXLLJXIFDFURFZ6}

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	2026-05-18T03:49:32.584958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2381c3687c55fe5bad69ba0a32d225cfb1006d1015aaa90ab1805b3683e4216b

Aliases

arxiv: 1203.6855 · arxiv_version: 1203.6855v2 · doi: 10.48550/arxiv.1203.6855 · pith_short_12: EOA4G2D4KX7F · pith_short_16: EOA4G2D4KX7FXLLJ · pith_short_8: EOA4G2D4

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/EOA4G2D4KX7FXLLJXIFDFURFZ6 \
  | 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: 2381c3687c55fe5bad69ba0a32d225cfb1006d1015aaa90ab1805b3683e4216b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b657d6927640131722e4444613e7c074de2ea1595874975b04caa194a5d77529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-30T16:50:24Z",
    "title_canon_sha256": "82b6dc09610565824b674169472ed38881a7084c82c00244c6127e9d90552192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6855",
    "kind": "arxiv",
    "version": 2
  }
}