Pith Number

pith:A2J3XNA4

pith:2018:A2J3XNA4SIEDTAPCJCNF62DLVC

not attested not anchored not stored refs pending

Densities of bounded primes for hypergeometric series with rational parameters

Brandon Gill, Cameron Franc, Frankie Tu, Jarrod Pas, Jason Goertzen

arxiv:1803.10607 v1 · 2018-03-28 · 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{A2J3XNA4SIEDTAPCJCNF62DLVC}

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	2026-05-18T00:19:54.737901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0693bbb41c92083981e2489a5f686ba880ad681d35a526f56a283e1d5ac26bd9

Aliases

arxiv: 1803.10607 · arxiv_version: 1803.10607v1 · doi: 10.48550/arxiv.1803.10607 · pith_short_12: A2J3XNA4SIED · pith_short_16: A2J3XNA4SIEDTAPC · pith_short_8: A2J3XNA4

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/A2J3XNA4SIEDTAPCJCNF62DLVC \
  | 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: 0693bbb41c92083981e2489a5f686ba880ad681d35a526f56a283e1d5ac26bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e20350c1c9c1ed048758ad639c946ba66e5e4c596f8d97658976610cb162c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-28T13:49:47Z",
    "title_canon_sha256": "ac22d6b59c93d5505a22796ed296409f7f961a02517d460f081f46bb03c789cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10607",
    "kind": "arxiv",
    "version": 1
  }
}