Pith Number

pith:CG352EB2

pith:2017:CG352EB2Q65QXHYNBWXYTD4T74

not attested not anchored not stored refs pending

Some Applications of the Hahn-Banach Separation Theorem

Frank Deutsch, Hein Hundal, Ludmil Zikatanov

arxiv:1712.10250 v1 · 2017-12-29 · 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{CG352EB2Q65QXHYNBWXYTD4T74}

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	2026-05-18T00:27:03.609101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b7dd103a87bb0b9f0d0daf898f93ff2ca8b4a1f35d2de3129538e2a3916a29

Aliases

arxiv: 1712.10250 · arxiv_version: 1712.10250v1 · doi: 10.48550/arxiv.1712.10250 · pith_short_12: CG352EB2Q65Q · pith_short_16: CG352EB2Q65QXHYN · pith_short_8: CG352EB2

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/CG352EB2Q65QXHYNBWXYTD4T74 \
  | 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: 11b7dd103a87bb0b9f0d0daf898f93ff2ca8b4a1f35d2de3129538e2a3916a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352c6705b85103e24d24abf6c42c342e9ac695c8c2811ae23f0b1283d925f4a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-29T15:06:00Z",
    "title_canon_sha256": "b97784879bd2b0e14061f5509bb2d271c32aa0215015d0ddbe23b307b8a04706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10250",
    "kind": "arxiv",
    "version": 1
  }
}