Pith Number

pith:VPIBJDPG

pith:2015:VPIBJDPGODY7HS7CHOMAEIF7W4

not attested not anchored not stored refs pending

Lineability in sequence and function spaces

G.A. Mu\~noz-Fern\'andez, G. Ara\'ujo, J.A. Prado-Bassas, J.B. Seoane-Sep\'ulveda, L. Bernal-Gonz\'alez

arxiv:1507.04477 v1 · 2015-07-16 · 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{VPIBJDPGODY7HS7CHOMAEIF7W4}

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	2026-05-18T00:27:47.388681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd0148de670f1f3cbe23b980220bfb72749b3bbabb3e1102a075199250df804

Aliases

arxiv: 1507.04477 · arxiv_version: 1507.04477v1 · doi: 10.48550/arxiv.1507.04477 · pith_short_12: VPIBJDPGODY7 · pith_short_16: VPIBJDPGODY7HS7C · pith_short_8: VPIBJDPG

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/VPIBJDPGODY7HS7CHOMAEIF7W4 \
  | 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: abd0148de670f1f3cbe23b980220bfb72749b3bbabb3e1102a075199250df804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2c8b3e23e6e6b95f41839ddfb40327a740ad1d4c51b03d14692d1fc8f3ed8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-16T08:23:24Z",
    "title_canon_sha256": "61f8adf44c1718205819aa49c536fc9639818f491c980f1b0053f860bfffbf80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04477",
    "kind": "arxiv",
    "version": 1
  }
}