Pith Number

pith:YZOLPFHL

pith:2015:YZOLPFHL6IRQWSEPQS5YRNBQFS

not attested not anchored not stored refs pending

Quantitative asymptotic regularity results for the composition of two mappings

Adriana Nicolae, Genaro Lopez-Acedo, Ulrich Kohlenbach

arxiv:1512.05810 v1 · 2015-12-17 · 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{YZOLPFHL6IRQWSEPQS5YRNBQFS}

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	2026-05-18T01:24:06.217419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c65cb794ebf2230b488f84bb88b4302c82ea5441eb35b28976e5288e7f389b08

Aliases

arxiv: 1512.05810 · arxiv_version: 1512.05810v1 · doi: 10.48550/arxiv.1512.05810 · pith_short_12: YZOLPFHL6IRQ · pith_short_16: YZOLPFHL6IRQWSEP · pith_short_8: YZOLPFHL

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/YZOLPFHL6IRQWSEPQS5YRNBQFS \
  | 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: c65cb794ebf2230b488f84bb88b4302c82ea5441eb35b28976e5288e7f389b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7a64ddf92278a4a8f0206e0f02d77e4aecef8aa09ebb01bdd18435d3dda88a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-17T21:57:19Z",
    "title_canon_sha256": "a414156cc080bd772a93c3f16f055c495d388a3c674fd64afd58041791f61843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05810",
    "kind": "arxiv",
    "version": 1
  }
}