Pith Number

pith:2GCDJ35L

pith:2013:2GCDJ35LWSPB5XQSIA6UZA7EE2

not attested not anchored not stored refs pending

Rational series and asymptotic expansion for linear homogeneous divide-and-conquer recurrences

Philippe Dumas

arxiv:1307.0189 v1 · 2013-06-30 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GCDJ35LWSPB5XQSIA6UZA7EE2}

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	2026-05-18T03:19:34.035044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18434efabb49e1ede12403d4c83e426b4b3a9cd5b2043987c915943ab9d3cdb

Aliases

arxiv: 1307.0189 · arxiv_version: 1307.0189v1 · doi: 10.48550/arxiv.1307.0189 · pith_short_12: 2GCDJ35LWSPB · pith_short_16: 2GCDJ35LWSPB5XQS · pith_short_8: 2GCDJ35L

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/2GCDJ35LWSPB5XQSIA6UZA7EE2 \
  | 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: d18434efabb49e1ede12403d4c83e426b4b3a9cd5b2043987c915943ab9d3cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0e1c7bcaecd6e7dca223a7f39d920486964acbe79d13e5de6048572edb7b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-06-30T09:44:27Z",
    "title_canon_sha256": "d6c07ecd4c70955dccb5440b0f966dcd19557779b323782a923dc9563f174e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0189",
    "kind": "arxiv",
    "version": 1
  }
}