Pith Number

pith:7PRSDBOG

pith:2012:7PRSDBOGGWNDQWL3MV2FLXV4AH

not attested not anchored not stored refs pending

Maximum edges possible in a graph for restricted independence number, maximum degree, and maximum matching size

Naushad Puliyambalath, Niraj Khare, Nishali Mehta

arxiv:1203.1336 v1 · 2012-03-06 · 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{7PRSDBOGGWNDQWL3MV2FLXV4AH}

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	2026-05-18T04:00:39.644253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe32185c6359a38597b657455debc01f53f1bff95586bd1202008fe6b2d0d87

Aliases

arxiv: 1203.1336 · arxiv_version: 1203.1336v1 · doi: 10.48550/arxiv.1203.1336 · pith_short_12: 7PRSDBOGGWND · pith_short_16: 7PRSDBOGGWNDQWL3 · pith_short_8: 7PRSDBOG

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/7PRSDBOGGWNDQWL3MV2FLXV4AH \
  | 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: fbe32185c6359a38597b657455debc01f53f1bff95586bd1202008fe6b2d0d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15193e17166e2fc41883d97526b71b81c7366a752206dd50e9c937ee79b7f7f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-06T21:24:48Z",
    "title_canon_sha256": "3ebb5ae1ba94a070d21887bf0b93d3fc32a3fb23417eb36a5be3537f6731f0fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1336",
    "kind": "arxiv",
    "version": 1
  }
}