Pith Number

pith:5LELYMXU

pith:2013:5LELYMXU5GDH4J3JCWD6FAJOBD

not attested not anchored not stored refs pending

A new method for enumerating independent sets of a fixed size in general graphs

James Alexander, Tim Mink

arxiv:1308.3242 v2 · 2013-08-14 · 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{5LELYMXU5GDH4J3JCWD6FAJOBD}

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	2026-05-18T02:30:32.546344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac8bc32f4e9867e27691587e2812e08ca0c054b6dbb208817786709aa460b1a

Aliases

arxiv: 1308.3242 · arxiv_version: 1308.3242v2 · doi: 10.48550/arxiv.1308.3242 · pith_short_12: 5LELYMXU5GDH · pith_short_16: 5LELYMXU5GDH4J3J · pith_short_8: 5LELYMXU

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/5LELYMXU5GDH4J3JCWD6FAJOBD \
  | 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: eac8bc32f4e9867e27691587e2812e08ca0c054b6dbb208817786709aa460b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ccd3ceb0f96ce1ab12b81a69ac2fd7ac3ee94c32f4afe1727e20ec7bc12adc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-14T20:12:48Z",
    "title_canon_sha256": "2dc0d9df2f6e5a47cbb2626673086a5aed83be990eae4e17014b70deb8236346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3242",
    "kind": "arxiv",
    "version": 2
  }
}