Pith Number

pith:4EEPA7EF

pith:2019:4EEPA7EF3PYKSBJGNTKPFCAXPY

not attested not anchored not stored refs pending

Gaussian primes in almost all narrow sectors

Bingrong Huang, Jianya Liu, Ze\'ev Rudnick

arxiv:1903.04005 v1 · 2019-03-10 · 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{4EEPA7EF3PYKSBJGNTKPFCAXPY}

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	2026-05-17T23:51:40.337694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e108f07c85dbf0a905266cd4f288177e2cd2d27dc398bc92991244af02dc605f

Aliases

arxiv: 1903.04005 · arxiv_version: 1903.04005v1 · doi: 10.48550/arxiv.1903.04005 · pith_short_12: 4EEPA7EF3PYK · pith_short_16: 4EEPA7EF3PYKSBJG · pith_short_8: 4EEPA7EF

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/4EEPA7EF3PYKSBJGNTKPFCAXPY \
  | 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: e108f07c85dbf0a905266cd4f288177e2cd2d27dc398bc92991244af02dc605f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489eb9fa7cc073c7306998ad2832b89800d4564821dd3dfca8644ee8f9d84980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-10T15:09:17Z",
    "title_canon_sha256": "85e68d0a6f4b84409b5e8f0d5e26a781ee2097d38af0814a57d6aef960c71058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04005",
    "kind": "arxiv",
    "version": 1
  }
}