Pith Number

pith:IFVIIYVA

pith:2016:IFVIIYVA5C2L4XRXCXOGN56MHU

not attested not anchored not stored refs pending

Norm attaining Lipschitz functionals

Mariia Soloviova, Miguel Martin, Vladimir Kadets

arxiv:1601.07821 v1 · 2016-01-28 · 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{IFVIIYVA5C2L4XRXCXOGN56MHU}

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	2026-05-18T01:04:45.452115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416a8462a0e8b4be5e3715dc66f7cc3d11993dfc5b4522173b29fea2967de521

Aliases

arxiv: 1601.07821 · arxiv_version: 1601.07821v1 · doi: 10.48550/arxiv.1601.07821 · pith_short_12: IFVIIYVA5C2L · pith_short_16: IFVIIYVA5C2L4XRX · pith_short_8: IFVIIYVA

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/IFVIIYVA5C2L4XRXCXOGN56MHU \
  | 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: 416a8462a0e8b4be5e3715dc66f7cc3d11993dfc5b4522173b29fea2967de521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45efdf2f4c3c05f6d50034b2584fe1a8a4f5611617eaed804783b9552505202",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-28T16:34:13Z",
    "title_canon_sha256": "abe8c69b0ab941765311b8c59dc7d7249316134364c24f9be88c2e75fcdf2321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07821",
    "kind": "arxiv",
    "version": 1
  }
}