Pith Number

pith:FXAFKBRC

pith:2016:FXAFKBRCK2CBHO647AVXG725H4

not attested not anchored not stored refs pending

Separable determination in Banach spaces

Marek Cuth

arxiv:1608.03685 v2 · 2016-08-12 · math.FA · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXAFKBRCK2CBHO647AVXG725H4}

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	2026-05-17T23:55:23.432863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc0550622568413bbdcf82b737f5d3f04f3ef29d1261cc83fca337306f3bfae

Aliases

arxiv: 1608.03685 · arxiv_version: 1608.03685v2 · doi: 10.48550/arxiv.1608.03685 · pith_short_12: FXAFKBRCK2CB · pith_short_16: FXAFKBRCK2CBHO64 · pith_short_8: FXAFKBRC

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/FXAFKBRCK2CBHO647AVXG725H4 \
  | 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: 2dc0550622568413bbdcf82b737f5d3f04f3ef29d1261cc83fca337306f3bfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bf64638f1cb3cab77e954d87d45739dc4e4d31dceabd7ce595ee5ef30a72d8",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-12T06:16:48Z",
    "title_canon_sha256": "d8052cc0019ede6d4b764576301ecdc5f8e79bf87948b7d2b008b91213c85056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03685",
    "kind": "arxiv",
    "version": 2
  }
}