Pith Number

pith:LB7H4BRD

pith:2015:LB7H4BRDFXBZMH4L4LFSVFIIXJ

not attested not anchored not stored refs pending

The independence number of a subset of an abelian group

B\'ela Bajnok, Imre Ruzsa

arxiv:1512.03037 v1 · 2015-12-09 · 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{LB7H4BRDFXBZMH4L4LFSVFIIXJ}

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	2026-05-18T01:24:38.990270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587e7e06232dc3961f8be2cb2a9508ba7199bf388d6bcd320e3e4ac42474b304

Aliases

arxiv: 1512.03037 · arxiv_version: 1512.03037v1 · doi: 10.48550/arxiv.1512.03037 · pith_short_12: LB7H4BRDFXBZ · pith_short_16: LB7H4BRDFXBZMH4L · pith_short_8: LB7H4BRD

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/LB7H4BRDFXBZMH4L4LFSVFIIXJ \
  | 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: 587e7e06232dc3961f8be2cb2a9508ba7199bf388d6bcd320e3e4ac42474b304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682452383014806fb2bcf5853e2aadab3c2dffcfc2b7660f9c03cbcef953ecf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-09T20:39:58Z",
    "title_canon_sha256": "83180dcceeb641bd7d0e321c56e2d33ff5f43acaf10346e6a6f6b14b154ad83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03037",
    "kind": "arxiv",
    "version": 1
  }
}