Pith Number

pith:M5LFJNLF

pith:2013:M5LFJNLF4Z2HFNVVT3FD4SITCM

not attested not anchored not stored refs pending

Schatten classes and traces on compact groups

Julio Delgado, Michael Ruzhansky

arxiv:1303.3914 v2 · 2013-03-15 · math.FA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5LFJNLF4Z2HFNVVT3FD4SITCM}

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	2026-05-18T01:21:08.893667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675654b565e67472b6b59eca3e4913132de9aa52777da0b46641a7db98f21731

Aliases

arxiv: 1303.3914 · arxiv_version: 1303.3914v2 · doi: 10.48550/arxiv.1303.3914 · pith_short_12: M5LFJNLF4Z2H · pith_short_16: M5LFJNLF4Z2HFNVV · pith_short_8: M5LFJNLF

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/M5LFJNLF4Z2HFNVVT3FD4SITCM \
  | 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: 675654b565e67472b6b59eca3e4913132de9aa52777da0b46641a7db98f21731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d8b6124fcc2aaf29d7d5045f4d33f72ea0f78c1344c33bf395bfa51f5a247d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-15T22:12:58Z",
    "title_canon_sha256": "73772211e6ebed803d78df03c3c7f32b0940c42cce60878bce018c1f1179025e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3914",
    "kind": "arxiv",
    "version": 2
  }
}