Pith Number

pith:HQIJAGKL

pith:2013:HQIJAGKLRUUXN2RHH7XPDSIACM

not attested not anchored not stored refs pending

Additive maps preserving idempotency of products or Jordan products of operators

Ali Taghavi, Roja Hosseinzadeh

arxiv:1309.4220 v1 · 2013-09-17 · 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{HQIJAGKLRUUXN2RHH7XPDSIACM}

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	2026-05-18T00:56:53.731067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1090194b8d2976ea273feef1c900131c35e1cb00ab8dd903a072b7c058cc15

Aliases

arxiv: 1309.4220 · arxiv_version: 1309.4220v1 · doi: 10.48550/arxiv.1309.4220 · pith_short_12: HQIJAGKLRUUX · pith_short_16: HQIJAGKLRUUXN2RH · pith_short_8: HQIJAGKL

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/HQIJAGKLRUUXN2RHH7XPDSIACM \
  | 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: 3c1090194b8d2976ea273feef1c900131c35e1cb00ab8dd903a072b7c058cc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9056bccabf73c91e488ecabf11b001c2ce667a5508a75bb1578f6529c5a633",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-17T08:13:22Z",
    "title_canon_sha256": "b2b61b1306102bdcadb682251a7a4896098f55b01ad9c6136f74b2bca013c6f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4220",
    "kind": "arxiv",
    "version": 1
  }
}