Pith Number

pith:NGH3FQVZ

pith:2013:NGH3FQVZK33RMDGPDVW7D5K5PG

not attested not anchored not stored refs pending

Lineability, spaceability, and additivity cardinals for Darboux-like functions

Daniel Pellegrino, Jos\'e L. G\'amez-Merino, Juan B. Seoane-Sep\'ulveda, Krzysztof Chris Ciesielski

arxiv:1309.1965 v1 · 2013-09-08 · 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{NGH3FQVZK33RMDGPDVW7D5K5PG}

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	2026-05-18T03:13:56.891102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698fb2c2b956f7160ccf1d6df1f55d798ec0dd8e2aa5816a2fa6ec167ffe9488

Aliases

arxiv: 1309.1965 · arxiv_version: 1309.1965v1 · doi: 10.48550/arxiv.1309.1965 · pith_short_12: NGH3FQVZK33R · pith_short_16: NGH3FQVZK33RMDGP · pith_short_8: NGH3FQVZ

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/NGH3FQVZK33RMDGPDVW7D5K5PG \
  | 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: 698fb2c2b956f7160ccf1d6df1f55d798ec0dd8e2aa5816a2fa6ec167ffe9488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af24f260903ed4c2d7b0e817211ae5665834b7ac60332615fea9e9f56b7c7a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-08T15:12:26Z",
    "title_canon_sha256": "3a32561d55c03477e8a599b5fc5c4ded9b0e55aa4bc957c984423c236a2d421f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1965",
    "kind": "arxiv",
    "version": 1
  }
}