Pith Number

pith:XKOLNMG5

pith:2018:XKOLNMG5RNFSFEXULXIN5DZXEO

not attested not anchored not stored refs pending

Hyperbolic polynomials and linear-type generating functions

Khang Tran, Tam\'as Forg\'acs

arxiv:1810.01521 v1 · 2018-10-02 · 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{XKOLNMG5RNFSFEXULXIN5DZXEO}

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	2026-05-18T00:04:11.883801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9cb6b0dd8b4b2292f45dd0de8f3723a9fd8279a3412230c2dbc1a28fa2726c

Aliases

arxiv: 1810.01521 · arxiv_version: 1810.01521v1 · doi: 10.48550/arxiv.1810.01521 · pith_short_12: XKOLNMG5RNFS · pith_short_16: XKOLNMG5RNFSFEXU · pith_short_8: XKOLNMG5

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/XKOLNMG5RNFSFEXULXIN5DZXEO \
  | 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: ba9cb6b0dd8b4b2292f45dd0de8f3723a9fd8279a3412230c2dbc1a28fa2726c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07c4c61530063904c6c6a09898c5f392be2a871078502e07e1fd02eae12303a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-02T21:19:49Z",
    "title_canon_sha256": "b43c9ccf97a4cb4b6c3e538c01362b0977dc9e2c113a37549ff75bf222230fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01521",
    "kind": "arxiv",
    "version": 1
  }
}