Pith Number

pith:BFSGMQF2

pith:2012:BFSGMQF2QPYR2U7TW4MNRT6FVP

not attested not anchored not stored refs pending

Narrow and $\ell_2$-strictly singular operators from $L_p$

B. Randrianantoanina, G. Schechtman, M. Popov, V. Mykhaylyuk

arxiv:1211.4854 v1 · 2012-11-20 · 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{BFSGMQF2QPYR2U7TW4MNRT6FVP}

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	2026-05-18T03:40:16.685032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09646640ba83f11d53f3b718d8cfc5abfc9f7a4b799e73f8e94e416f5f344a34

Aliases

arxiv: 1211.4854 · arxiv_version: 1211.4854v1 · doi: 10.48550/arxiv.1211.4854 · pith_short_12: BFSGMQF2QPYR · pith_short_16: BFSGMQF2QPYR2U7T · pith_short_8: BFSGMQF2

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/BFSGMQF2QPYR2U7TW4MNRT6FVP \
  | 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: 09646640ba83f11d53f3b718d8cfc5abfc9f7a4b799e73f8e94e416f5f344a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62bab7b0604d5e909b758e2441e37867536ae62d8248d75c4573b0fdde780e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-20T20:39:03Z",
    "title_canon_sha256": "b574cdf7e8d6641c4cc231d10a5cc959501e5b2b51cc25512b51e9edadc530d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4854",
    "kind": "arxiv",
    "version": 1
  }
}