Pith Number

pith:DMEWXF4I

pith:2019:DMEWXF4IYQ23MSWYSXD7BRZV6I

not attested not anchored not stored refs pending

Proofs for certain Pi_{q}-conjectures of Gosper

Bing He

arxiv:1908.02010 v5 · 2019-08-06 · math.CA · 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{DMEWXF4IYQ23MSWYSXD7BRZV6I}

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	2026-07-05T01:54:41.116482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b096b9788c435b64ad895c7f0c735f20368f74ffac0fe3023221553aa516f97

Aliases

arxiv: 1908.02010 · arxiv_version: 1908.02010v5 · doi: 10.48550/arxiv.1908.02010 · pith_short_12: DMEWXF4IYQ23 · pith_short_16: DMEWXF4IYQ23MSWY · pith_short_8: DMEWXF4I

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/DMEWXF4IYQ23MSWYSXD7BRZV6I \
  | 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: 1b096b9788c435b64ad895c7f0c735f20368f74ffac0fe3023221553aa516f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c4521f967535281ebe52b5caaf979ab7aa9495a522accd1378845eb95807d0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-06T08:29:12Z",
    "title_canon_sha256": "db94eed6aa6757b15b4e78395259f72db9d1c7491d739d24e8f35ebd9dbc5168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02010",
    "kind": "arxiv",
    "version": 5
  }
}