Pith Number

pith:KSSMEZ5B

pith:2017:KSSMEZ5BKBCQYKRDZXD2O7IB4B

not attested not anchored not stored refs pending

Extending surjective isometries defined on the unit sphere of $\ell_\infty(\Gamma)$

Antonio M. Peralta

arxiv:1709.09584 v1 · 2017-09-27 · 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{KSSMEZ5BKBCQYKRDZXD2O7IB4B}

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	2026-05-18T00:34:11.223413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54a4c267a150450c2a23cdc7a77d01e04f00d0a00e81bed82d003010bd193ce7

Aliases

arxiv: 1709.09584 · arxiv_version: 1709.09584v1 · doi: 10.48550/arxiv.1709.09584 · pith_short_12: KSSMEZ5BKBCQ · pith_short_16: KSSMEZ5BKBCQYKRD · pith_short_8: KSSMEZ5B

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/KSSMEZ5BKBCQYKRDZXD2O7IB4B \
  | 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: 54a4c267a150450c2a23cdc7a77d01e04f00d0a00e81bed82d003010bd193ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092e6ba5ba998aa2d034cf485a30cadc75fc80d53731bff06f02c7e9311afe3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-27T15:38:14Z",
    "title_canon_sha256": "e7ba253e074028bef206186a8e571ad48d8a975d45bc175f258ed45823f051f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09584",
    "kind": "arxiv",
    "version": 1
  }
}