Pith Number

pith:5MIOXNKG

pith:2016:5MIOXNKGXAHHBOHRIILHUWSOVH

not attested not anchored not stored refs pending

Quadratic forms representing all integers coprime to 3

Jeremy Rouse, Justin DeBenedetto

arxiv:1609.06563 v1 · 2016-09-21 · 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{5MIOXNKGXAHHBOHRIILHUWSOVH}

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	2026-05-18T01:04:07.934516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb10ebb546b80e70b8f142167a5a4ea9f6acbe635aa6bbaf35594b134d2f3f63

Aliases

arxiv: 1609.06563 · arxiv_version: 1609.06563v1 · doi: 10.48550/arxiv.1609.06563 · pith_short_12: 5MIOXNKGXAHH · pith_short_16: 5MIOXNKGXAHHBOHR · pith_short_8: 5MIOXNKG

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/5MIOXNKGXAHHBOHRIILHUWSOVH \
  | 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: eb10ebb546b80e70b8f142167a5a4ea9f6acbe635aa6bbaf35594b134d2f3f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e3f7fc59a7876cfa260a54d4515b51fd152fab3940e5e230d981b0bb8d52622",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-21T13:56:07Z",
    "title_canon_sha256": "1d056b404a59adb125ce364426946004fbdc5462ec096730e6366f2881d42c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06563",
    "kind": "arxiv",
    "version": 1
  }
}