Pith Number

pith:WYGGM6HD

pith:2017:WYGGM6HDBPQ3T5GDQOMBLIEYL3

not attested not anchored not stored refs pending

An exploration of Nathanson's $g$-adic representations of integers

Austin Lawson, Dan Yasaki, Greg Bell, Neil Pritchard

arxiv:1711.00809 v2 · 2017-11-02 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYGGM6HDBPQ3T5GDQOMBLIEYL3}

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	2026-05-17T23:56:05.525971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b60c6678e30be1b9f4c3839815a0985efef2019c0eb180c1feda8465ccde193e

Aliases

arxiv: 1711.00809 · arxiv_version: 1711.00809v2 · doi: 10.48550/arxiv.1711.00809 · pith_short_12: WYGGM6HDBPQ3 · pith_short_16: WYGGM6HDBPQ3T5GD · pith_short_8: WYGGM6HD

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/WYGGM6HDBPQ3T5GDQOMBLIEYL3 \
  | 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: b60c6678e30be1b9f4c3839815a0985efef2019c0eb180c1feda8465ccde193e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62cea8faeb78aece82bbafd62a4f34ec81614d5e46dabfafe209b36b0fc0db41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-02T16:47:04Z",
    "title_canon_sha256": "a493ff02fa76e935ba849a2cf8679bce320f7d9aee57ac7dcb0f1651b8472125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00809",
    "kind": "arxiv",
    "version": 2
  }
}