Pith Number

pith:TT6TPIAI

pith:2013:TT6TPIAIDT2NICXQI33MHAM5F6

not attested not anchored not stored refs pending

Fredholm multiplication conditional type operators on L^p-spaces

Yousef Estaremi

arxiv:1312.7409 v3 · 2013-12-28 · 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{TT6TPIAIDT2NICXQI33MHAM5F6}

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	2026-05-18T02:25:26.648308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cfd37a0081cf4d40af046f6c3819d2f8fc7ce3055af28ba72037e4b88e0f43f

Aliases

arxiv: 1312.7409 · arxiv_version: 1312.7409v3 · doi: 10.48550/arxiv.1312.7409 · pith_short_12: TT6TPIAIDT2N · pith_short_16: TT6TPIAIDT2NICXQ · pith_short_8: TT6TPIAI

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/TT6TPIAIDT2NICXQI33MHAM5F6 \
  | 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: 9cfd37a0081cf4d40af046f6c3819d2f8fc7ce3055af28ba72037e4b88e0f43f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131831f0ab15e25754008a5ed77fb7ef245ba1387eeebdf234021473a1e2f4b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-28T08:55:23Z",
    "title_canon_sha256": "a8a9acdbc415751f4df4d6d5b087cae3cf0a884a50e01d7843d73ec947540f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7409",
    "kind": "arxiv",
    "version": 3
  }
}