Pith Number

pith:EGAC3RLL

pith:2013:EGAC3RLLFIX5ZTYNQHO2ROF2V5

not attested not anchored not stored refs pending

The norm of the $k$-th derivative of the $\chi$-symmetric power of an operator

Pedro J. Freitas, S\'onia Carvalho

arxiv:1305.1144 v1 · 2013-05-06 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGAC3RLLFIX5ZTYNQHO2ROF2V5}

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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	2026-05-18T03:26:23.994241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21802dc56b2a2fdccf0d81dda8b8baaf4484d949e5311c21c680c0eb3bfd26b0

Aliases

arxiv: 1305.1144 · arxiv_version: 1305.1144v1 · doi: 10.48550/arxiv.1305.1144 · pith_short_12: EGAC3RLLFIX5 · pith_short_16: EGAC3RLLFIX5ZTYN · pith_short_8: EGAC3RLL

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/EGAC3RLLFIX5ZTYNQHO2ROF2V5 \
  | 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: 21802dc56b2a2fdccf0d81dda8b8baaf4484d949e5311c21c680c0eb3bfd26b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a521431db355dee4860a51674c766b34eb7dd314476e522d86f73a7b4f752ae6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-06T10:39:34Z",
    "title_canon_sha256": "6d94baa11a1e732d35d2e3069b491a19eb915df7aeb9cea5803322b5bda7f81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1144",
    "kind": "arxiv",
    "version": 1
  }
}