Pith Number

pith:JEQKPISY

pith:2009:JEQKPISYIBGUXBNFRVXX4OYGK7

not attested not anchored not stored refs pending

A Simple Proof of an Inequality Connecting the Alternating Number of Independent Sets and the Decycling Number

Eugen Mandrescu, Vadim E. Levit

arxiv:0905.3487 v1 · 2009-05-21 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEQKPISYIBGUXBNFRVXX4OYGK7}

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	2026-05-18T04:31:12.139419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4920a7a258404d4b85a58d6f7e3b0657cb2ff8974772fd8f79a20a4e5778fc8f

Aliases

arxiv: 0905.3487 · arxiv_version: 0905.3487v1 · doi: 10.48550/arxiv.0905.3487 · pith_short_12: JEQKPISYIBGU · pith_short_16: JEQKPISYIBGUXBNF · pith_short_8: JEQKPISY

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/JEQKPISYIBGUXBNFRVXX4OYGK7 \
  | 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: 4920a7a258404d4b85a58d6f7e3b0657cb2ff8974772fd8f79a20a4e5778fc8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670b0148b8bd55e5b146ad4f221276c6fd8997ef1cb05b65197f2a455229a825",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-21T13:15:37Z",
    "title_canon_sha256": "a8c5a314420cd35d5f9c0152b07f13eb4142349392c3e6464a42322b051e6750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3487",
    "kind": "arxiv",
    "version": 1
  }
}