Pith Number

pith:3TV5WSU6

pith:2016:3TV5WSU6JUSJ7OELEX5YGXK6JJ

not attested not anchored not stored refs pending

Some mixed character sum identities of Katz II

John Greene, Ron Evans

arxiv:1609.01429 v2 · 2016-09-06 · 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{3TV5WSU6JUSJ7OELEX5YGXK6JJ}

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	2026-05-18T00:54:34.194971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcebdb4a9e4d249fb88b25fb835d5e4a66f860544124d6ddd84c73682568bb98

Aliases

arxiv: 1609.01429 · arxiv_version: 1609.01429v2 · doi: 10.48550/arxiv.1609.01429 · pith_short_12: 3TV5WSU6JUSJ · pith_short_16: 3TV5WSU6JUSJ7OEL · pith_short_8: 3TV5WSU6

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/3TV5WSU6JUSJ7OELEX5YGXK6JJ \
  | 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: dcebdb4a9e4d249fb88b25fb835d5e4a66f860544124d6ddd84c73682568bb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67aa1a9ce1cb11665a9b8db777898cfdae53f6a717a46537fba3d8f581916229",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-06T08:30:07Z",
    "title_canon_sha256": "3b014be2f242674a7cd32d7edab6bc3c5f02b0fb895c4740e42ae3f742ca52f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01429",
    "kind": "arxiv",
    "version": 2
  }
}