Pith Number

pith:2BG7EWZ4

pith:2018:2BG7EWZ4EWTY7FBZEBXNQBDZCY

not attested not anchored not stored refs pending

Norming subspaces of Banach spaces

Clemente Zanco, Sebastian Lajara, Stanimir Troyanski, Vladimir P. Fonf

arxiv:1804.09968 v1 · 2018-04-26 · 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{2BG7EWZ4EWTY7FBZEBXNQBDZCY}

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	2026-05-18T00:17:25.568579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d04df25b3c25a78f9439206ed80479162dc25f64e19dbc5e99e8213ff3fa1230

Aliases

arxiv: 1804.09968 · arxiv_version: 1804.09968v1 · doi: 10.48550/arxiv.1804.09968 · pith_short_12: 2BG7EWZ4EWTY · pith_short_16: 2BG7EWZ4EWTY7FBZ · pith_short_8: 2BG7EWZ4

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/2BG7EWZ4EWTY7FBZEBXNQBDZCY \
  | 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: d04df25b3c25a78f9439206ed80479162dc25f64e19dbc5e99e8213ff3fa1230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4e2aa0b0b3c8d0f28fa33938c28354ca99d48f63ac67bc49d9e6e5b33b4565",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-26T10:06:06Z",
    "title_canon_sha256": "009f86a0e940b8450a852d628ea62cbf642f59c2f8818a283ec6625ae575d63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09968",
    "kind": "arxiv",
    "version": 1
  }
}