Pith Number

pith:UWHSM4TT

pith:2012:UWHSM4TTMXVBPXFX34NLW7JDRU

not attested not anchored not stored refs pending

On constant-multiple-free sets contained in a random set of integers

Sang June Lee

arxiv:1212.5063 v2 · 2012-12-20 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWHSM4TTMXVBPXFX34NLW7JDRU}

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	2026-05-18T02:23:35.682033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a58f26727365ea17dcb7df1abb7d238d3734603d5d61252598856be1e3790519

Aliases

arxiv: 1212.5063 · arxiv_version: 1212.5063v2 · doi: 10.48550/arxiv.1212.5063 · pith_short_12: UWHSM4TTMXVB · pith_short_16: UWHSM4TTMXVBPXFX · pith_short_8: UWHSM4TT

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/UWHSM4TTMXVBPXFX34NLW7JDRU \
  | 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: a58f26727365ea17dcb7df1abb7d238d3734603d5d61252598856be1e3790519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a731d187687243255ad0b510482723b3d654b743eb96635e14e38f45f5e56f2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-20T14:46:29Z",
    "title_canon_sha256": "6a10b8ace274d7702a8d3287ce7037b2c4ea62c229378ec9d8105a1ff0c542f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5063",
    "kind": "arxiv",
    "version": 2
  }
}