Pith Number

pith:LT5GXVVN

pith:2013:LT5GXVVNS22FO4ZLB7HS6ZO643

not attested not anchored not stored refs pending

Equivalence of multi-norms

H. Garth Dales, Hung Le Pham, Matthew Daws, Paul Ramsden

arxiv:1304.2096 v1 · 2013-04-08 · 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{LT5GXVVNS22FO4ZLB7HS6ZO643}

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	2026-05-18T03:28:44.062809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfa6bd6ad96b457732b0fcf2f65dee6d450d4f8022310ce587be410cadb01e9

Aliases

arxiv: 1304.2096 · arxiv_version: 1304.2096v1 · doi: 10.48550/arxiv.1304.2096 · pith_short_12: LT5GXVVNS22F · pith_short_16: LT5GXVVNS22FO4ZL · pith_short_8: LT5GXVVN

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/LT5GXVVNS22FO4ZLB7HS6ZO643 \
  | 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: 5cfa6bd6ad96b457732b0fcf2f65dee6d450d4f8022310ce587be410cadb01e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c57bffdc4aa03fbd6cb8d96c2b727ad498c619db49fdb571366aba559519096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-08T04:08:34Z",
    "title_canon_sha256": "e97984dfb1303dd47b04e9c55e1f10c80223df78c2dbd2df7e467c249b44d9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2096",
    "kind": "arxiv",
    "version": 1
  }
}