Pith Number

pith:GQHGAWOM

pith:2013:GQHGAWOMXZIWPXUMSBEX3CT4AC

not attested not anchored not stored refs pending

On Borel summability and analytic functionals

Jasson Vindas, Ricardo Estrada

arxiv:1306.4559 v1 · 2013-06-19 · math.CV · math.CA · 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{GQHGAWOMXZIWPXUMSBEX3CT4AC}

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	2026-05-18T03:12:34.717647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340e6059ccbe5167de8c90497d8a7c00bdfa40b1190119744e3c52d3535f3ebb

Aliases

arxiv: 1306.4559 · arxiv_version: 1306.4559v1 · doi: 10.48550/arxiv.1306.4559 · pith_short_12: GQHGAWOMXZIW · pith_short_16: GQHGAWOMXZIWPXUM · pith_short_8: GQHGAWOM

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/GQHGAWOMXZIWPXUMSBEX3CT4AC \
  | 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: 340e6059ccbe5167de8c90497d8a7c00bdfa40b1190119744e3c52d3535f3ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b19cecb375de46d111d9fd248b10add52ef0e578aa2b328e0a2a03b3c21d2f",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-06-19T14:13:51Z",
    "title_canon_sha256": "8aafd57052679f293f8ee9bc910be25dbef4c5b6f3ca220d81150d10b27b74a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4559",
    "kind": "arxiv",
    "version": 1
  }
}