Pith Number

pith:6OWFYKEY

pith:2016:6OWFYKEYIRYNNCZ6BMQQALQCWX

not attested not anchored not stored refs pending

On PNT equivalences for Beurling numbers

Gregory Debruyne, Jasson Vindas

arxiv:1606.03579 v3 · 2016-06-11 · 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{6OWFYKEYIRYNNCZ6BMQQALQCWX}

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	2026-05-18T00:31:22.606395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3ac5c28984470d68b3e0b21002e02b5e0f2fa8b7f97dee9d92fccd49509850c

Aliases

arxiv: 1606.03579 · arxiv_version: 1606.03579v3 · doi: 10.48550/arxiv.1606.03579 · pith_short_12: 6OWFYKEYIRYN · pith_short_16: 6OWFYKEYIRYNNCZ6 · pith_short_8: 6OWFYKEY

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/6OWFYKEYIRYNNCZ6BMQQALQCWX \
  | 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: f3ac5c28984470d68b3e0b21002e02b5e0f2fa8b7f97dee9d92fccd49509850c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5e57950047260f380d9dae80d467f8b4c584bf7c6b2a014df007e9f90c30f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-11T11:20:48Z",
    "title_canon_sha256": "74b79c2fda3b8ae5129207b62bc0ab2a5508c02d4fa0b12a20e5b064499786f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03579",
    "kind": "arxiv",
    "version": 3
  }
}