Pith Number

pith:NPZMVQJE

pith:2017:NPZMVQJEGEGGXZHPV32RURIFJH

not attested not anchored not stored refs pending

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

Olesia Zavarzina

arxiv:1704.06961 v3 · 2017-04-23 · 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{NPZMVQJEGEGGXZHPV32RURIFJH}

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	2026-05-18T00:10:52.305056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf2cac124310c6be4efaef51a450549da12d66f3cde29f9cff73b381dfc2830

Aliases

arxiv: 1704.06961 · arxiv_version: 1704.06961v3 · doi: 10.48550/arxiv.1704.06961 · pith_short_12: NPZMVQJEGEGG · pith_short_16: NPZMVQJEGEGGXZHP · pith_short_8: NPZMVQJE

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/NPZMVQJEGEGGXZHPV32RURIFJH \
  | 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: 6bf2cac124310c6be4efaef51a450549da12d66f3cde29f9cff73b381dfc2830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cceb55b4ad7233a5c2b45f0cc4272a9fdf8f9ecf76e112c1aeab6f754124db2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-23T18:54:40Z",
    "title_canon_sha256": "0afe2d0afb3079ecef859a957051951fb302eff2513952a909ff40ea734e9124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06961",
    "kind": "arxiv",
    "version": 3
  }
}