Pith Number

pith:TMRQKMLZ

pith:2019:TMRQKMLZKU5NEOTPL2X3D2VTLI

not attested not anchored not stored refs pending

Algebraic dependence in generating functions and expansion complexity

Domingo G\'omez-P\'erez, L\'aszl\'o M\'erai

arxiv:1905.01079 v1 · 2019-05-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMRQKMLZKU5NEOTPL2X3D2VTLI}

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	2026-05-17T23:47:07.699161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b23053179553ad23a6f5eafb1eab35a1e5bf8d090e037417c846ae36df08029

Aliases

arxiv: 1905.01079 · arxiv_version: 1905.01079v1 · doi: 10.48550/arxiv.1905.01079 · pith_short_12: TMRQKMLZKU5N · pith_short_16: TMRQKMLZKU5NEOTP · pith_short_8: TMRQKMLZ

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/TMRQKMLZKU5NEOTPL2X3D2VTLI \
  | 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: 9b23053179553ad23a6f5eafb1eab35a1e5bf8d090e037417c846ae36df08029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157ab38fc50dc252c560f8b80c2b8c4061d04e76301fab61b5e550d4794db8b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-03T09:05:53Z",
    "title_canon_sha256": "1ed750c61f6aab0beb363cb3877cf65755a2975e749c406bad35748bd643632a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01079",
    "kind": "arxiv",
    "version": 1
  }
}