Pith Number

pith:PL6USQQX

pith:2013:PL6USQQXYGD47IPWNR3RRZTKX2

not attested not anchored not stored refs pending

Lineability criteria, with applications

Luis Bernal-Gonz\'alez, Manuel Ord\'o\~nez-Cabrera

arxiv:1309.3656 v1 · 2013-09-14 · 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{PL6USQQXYGD47IPWNR3RRZTKX2}

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	2026-05-18T03:13:20.813569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afd494217c187cfa1f66c7718e66abe95398361b4f22809ccebeeea64ac989e

Aliases

arxiv: 1309.3656 · arxiv_version: 1309.3656v1 · doi: 10.48550/arxiv.1309.3656 · pith_short_12: PL6USQQXYGD4 · pith_short_16: PL6USQQXYGD47IPW · pith_short_8: PL6USQQX

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/PL6USQQXYGD47IPWNR3RRZTKX2 \
  | 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: 7afd494217c187cfa1f66c7718e66abe95398361b4f22809ccebeeea64ac989e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007ab220c90d357b7b784bfc5d67bb6ef32f2bb7a24ad2398758fade80f1eb6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-14T12:29:24Z",
    "title_canon_sha256": "9bf60f3fd09b0292f80af3da57a8c10e7eda788b8889eb6d600f945d4224fc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3656",
    "kind": "arxiv",
    "version": 1
  }
}