Pith Number

pith:AQKSJING

pith:2015:AQKSJINGZLKK5R5UBYOW7XRHD5

not attested not anchored not stored refs pending

Integral D-Finite Functions

Christoph Koutschan, Manuel Kauers

arxiv:1501.03691 v2 · 2015-01-15 · cs.SC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQKSJINGZLKK5R5UBYOW7XRHD5}

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	2026-05-18T01:37:35.236127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041524a1a6cad4aec7b40e1d6fde271f5fa5d7be4d9d37e13376c838e9def85c

Aliases

arxiv: 1501.03691 · arxiv_version: 1501.03691v2 · doi: 10.48550/arxiv.1501.03691 · pith_short_12: AQKSJINGZLKK · pith_short_16: AQKSJINGZLKK5R5U · pith_short_8: AQKSJING

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/AQKSJINGZLKK5R5UBYOW7XRHD5 \
  | 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: 041524a1a6cad4aec7b40e1d6fde271f5fa5d7be4d9d37e13376c838e9def85c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3211ffa708068b5795ca53424595f1fcfe03fb3a7431552f162b559e5d47b512",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-01-15T14:29:19Z",
    "title_canon_sha256": "b86ed7791beb2afa5377878cd76132fed6ed2f9a56a7611f211c8045b857f7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03691",
    "kind": "arxiv",
    "version": 2
  }
}