Pith Number

pith:3AKDCJDM

pith:2012:3AKDCJDMBUT5F2XS43U2FDG6MV

not attested not anchored not stored refs pending

Spaceability and algebrability of sets of nowhere integrable functions

Leonardo Pellegrini, Pedro L. Kaufmann, Szymon Glab

arxiv:1204.6404 v1 · 2012-04-28 · 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{3AKDCJDMBUT5F2XS43U2FDG6MV}

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	2026-05-18T03:56:45.652554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81431246c0d27d2eaf2e6e9a28cde657d90ac5baa8c7cd8d29983bc6d66486d

Aliases

arxiv: 1204.6404 · arxiv_version: 1204.6404v1 · doi: 10.48550/arxiv.1204.6404 · pith_short_12: 3AKDCJDMBUT5 · pith_short_16: 3AKDCJDMBUT5F2XS · pith_short_8: 3AKDCJDM

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/3AKDCJDMBUT5F2XS43U2FDG6MV \
  | 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: d81431246c0d27d2eaf2e6e9a28cde657d90ac5baa8c7cd8d29983bc6d66486d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7446c20ff67c6cce6c6eec0356b2224423437aa8f83b71459e0835a0108c87cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-28T12:47:35Z",
    "title_canon_sha256": "de89fb9b2685c73592ab6cd9a1e44f90ce98179102342ee734c2f56b8118c461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6404",
    "kind": "arxiv",
    "version": 1
  }
}