Pith Number

pith:IOWAFFR7

pith:2016:IOWAFFR7LEBZQYAYTSWMRQ6THK

not attested not anchored not stored refs pending

On sign embeddings and narrow operators on $L_2$

Beata Randrianantoanina

arxiv:1604.02710 v1 · 2016-04-10 · 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{IOWAFFR7LEBZQYAYTSWMRQ6THK}

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	2026-05-18T01:17:22.370948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ac02963f59039860189cacc8c3d33a8e401ec35ed92fcffda54ab10d65e031

Aliases

arxiv: 1604.02710 · arxiv_version: 1604.02710v1 · doi: 10.48550/arxiv.1604.02710 · pith_short_12: IOWAFFR7LEBZ · pith_short_16: IOWAFFR7LEBZQYAY · pith_short_8: IOWAFFR7

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/IOWAFFR7LEBZQYAYTSWMRQ6THK \
  | 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: 43ac02963f59039860189cacc8c3d33a8e401ec35ed92fcffda54ab10d65e031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70f9cca3efe023286af250c174a9c0a915230aa6b99128535cb474c5c599ca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-10T15:55:40Z",
    "title_canon_sha256": "72b208896c6fc2d1964fa2c9c91c361c6e5dd60af3faff6eed8b29909f10ee84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02710",
    "kind": "arxiv",
    "version": 1
  }
}