Pith Number

pith:LNQPVG7S

pith:2015:LNQPVG7SKE7STHINCO572CEJ4V

not attested not anchored not stored refs pending

Order of growth of distributional irregular entire functions for the differentiation operator

Antonio Bonilla, Luis Bernal-Gonzalez

arxiv:1508.07177 v1 · 2015-08-28 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNQPVG7SKE7STHINCO572CEJ4V}

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	2026-05-18T01:34:36.691303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b60fa9bf2513f299d0d13bbfd0889e54bfb00a7c3e614cb2aae9b37aa53dbc6

Aliases

arxiv: 1508.07177 · arxiv_version: 1508.07177v1 · doi: 10.48550/arxiv.1508.07177 · pith_short_12: LNQPVG7SKE7S · pith_short_16: LNQPVG7SKE7STHIN · pith_short_8: LNQPVG7S

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/LNQPVG7SKE7STHINCO572CEJ4V \
  | 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: 5b60fa9bf2513f299d0d13bbfd0889e54bfb00a7c3e614cb2aae9b37aa53dbc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2988cc4b2c0b51dfbcba2da9980de54df82267486e10fb1e5b589d5e307c6831",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-28T12:16:05Z",
    "title_canon_sha256": "68977db20c8c6c3e7bf8aec2ac845f025670c516ccbd9fde9b5cfb51748a7e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07177",
    "kind": "arxiv",
    "version": 1
  }
}