Pith Number

pith:MYT2NEW5

pith:2018:MYT2NEW5BC6MNFZKYYSROQVYFM

not attested not anchored not stored refs pending

On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric ${}_1F_0$ series

Hao Pan, Yong Zhang

arxiv:1810.09370 v1 · 2018-10-22 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYT2NEW5BC6MNFZKYYSROQVYFM}

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	2026-05-18T00:02:40.320612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6627a692dd08bcc6972ac6251742b82b2abf785c3fd7aba817333bf658c32dff

Aliases

arxiv: 1810.09370 · arxiv_version: 1810.09370v1 · doi: 10.48550/arxiv.1810.09370 · pith_short_12: MYT2NEW5BC6M · pith_short_16: MYT2NEW5BC6MNFZK · pith_short_8: MYT2NEW5

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/MYT2NEW5BC6MNFZKYYSROQVYFM \
  | 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: 6627a692dd08bcc6972ac6251742b82b2abf785c3fd7aba817333bf658c32dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85a143987ce6ae3f5187c2995d0f819c5350bf164c98dd74400ea4be87f5eb9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-22T15:38:35Z",
    "title_canon_sha256": "1e41c611614e05e2a36e0dcedec2cc4619cae9bbc8443723dfff78c013b76530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09370",
    "kind": "arxiv",
    "version": 1
  }
}