Pith Number

pith:ELXTQAS3

pith:2013:ELXTQAS3UQV4YYPVTC3D7EVG4D

not attested not anchored not stored refs pending

More elementary operators that are spectrally bounded

Martin Mathieu, Nadia Boudi

arxiv:1312.6023 v1 · 2013-12-20 · 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{ELXTQAS3UQV4YYPVTC3D7EVG4D}

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	2026-05-18T03:04:07.348133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ef38025ba42bcc61f598b63f92a6e0f140351df5414be7b76c5c9612c5e737

Aliases

arxiv: 1312.6023 · arxiv_version: 1312.6023v1 · doi: 10.48550/arxiv.1312.6023 · pith_short_12: ELXTQAS3UQV4 · pith_short_16: ELXTQAS3UQV4YYPV · pith_short_8: ELXTQAS3

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/ELXTQAS3UQV4YYPVTC3D7EVG4D \
  | 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: 22ef38025ba42bcc61f598b63f92a6e0f140351df5414be7b76c5c9612c5e737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972a817ef615b86de00c2dcb85452be26ca39578cea347f8e5ee3975590cbdfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-20T16:34:22Z",
    "title_canon_sha256": "fcbbcf7cd09de6d364a253396866af0d3816a115ede09e971d66fb530845641b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6023",
    "kind": "arxiv",
    "version": 1
  }
}