Pith Number

pith:HNKHQDV6

pith:2026:HNKHQDV6XBA5FP5ZN6UZLMNINK

not attested not anchored not stored refs pending

Structural Classification of a Graph with Independence Number Five

Dinesh Kumar, Manisha Kumari

arxiv:2607.29322 v1 · 2026-07-31 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNKHQDV6XBA5FP5ZN6UZLMNINK}

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	2026-08-03T01:24:53.102654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b54780ebeb841d2bfb96fa995b1a86aa19365339af5c650f8cd88f813493ebb

Aliases

arxiv: 2607.29322 · arxiv_version: 2607.29322v1 · doi: 10.48550/arxiv.2607.29322 · pith_short_12: HNKHQDV6XBA5 · pith_short_16: HNKHQDV6XBA5FP5Z · pith_short_8: HNKHQDV6

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/HNKHQDV6XBA5FP5ZN6UZLMNINK \
  | 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: 3b54780ebeb841d2bfb96fa995b1a86aa19365339af5c650f8cd88f813493ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a85cc18d9c42c8855733ac80e918377543c0a85b4fe27dfb223ced8a756e608",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-31T11:53:38Z",
    "title_canon_sha256": "19c28bf40ec72035cc5653f0fe4ce5bef6f281c890b9d25d6a7d0e05b5706aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29322",
    "kind": "arxiv",
    "version": 1
  }
}