Pith Number

pith:S53LAFWZ

pith:2026:S53LAFWZ5RBF3NWWKABKMC4QMA

not attested not anchored not stored refs pending

Positive Linear Maps on Second Symmetric Product Spaces

K. C. Sivakumar, Pavankumar Raickwade

arxiv:2605.18103 v1 · 2026-05-18 · 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{S53LAFWZ5RBF3NWWKABKMC4QMA}

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	2026-05-20T00:05:16.077831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9776b016d9ec425db6d65002a60b90601b5e51a8038f9c23d01d0e0c0a5a9d24

Aliases

arxiv: 2605.18103 · arxiv_version: 2605.18103v1 · doi: 10.48550/arxiv.2605.18103 · pith_short_12: S53LAFWZ5RBF · pith_short_16: S53LAFWZ5RBF3NWW · pith_short_8: S53LAFWZ

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/S53LAFWZ5RBF3NWWKABKMC4QMA \
  | 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: 9776b016d9ec425db6d65002a60b90601b5e51a8038f9c23d01d0e0c0a5a9d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a797bdd28c2a4ce9353e921fb13bf65daa75e5745242b0dc5130a198b70655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-18T09:16:15Z",
    "title_canon_sha256": "a23119e3bff5c090b9e731e765df17a5c8bc9a619826c6ac74624482ae72e9b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18103",
    "kind": "arxiv",
    "version": 1
  }
}