Pith Number

pith:76IPTWVM

pith:2012:76IPTWVM2BL6W4DM6BD7MEUKFT

not attested not anchored not stored refs pending

New approach to the $k$-independence number of a graph

Adriana Hansberg, Yair Caro

arxiv:1208.4734 v1 · 2012-08-23 · 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{76IPTWVM2BL6W4DM6BD7MEUKFT}

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	2026-05-18T03:48:12.787380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff90f9daacd057eb706cf047f6128a2cd3e086032fe7030bcc2e15977d403d93

Aliases

arxiv: 1208.4734 · arxiv_version: 1208.4734v1 · doi: 10.48550/arxiv.1208.4734 · pith_short_12: 76IPTWVM2BL6 · pith_short_16: 76IPTWVM2BL6W4DM · pith_short_8: 76IPTWVM

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/76IPTWVM2BL6W4DM6BD7MEUKFT \
  | 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: ff90f9daacd057eb706cf047f6128a2cd3e086032fe7030bcc2e15977d403d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7790063348c7b2279ac4b3a3dfe2f00355f0082a6a6c9cdc5318a2753edf48a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-23T12:10:08Z",
    "title_canon_sha256": "02ba31314b915d528498ee26e80832111c3ea8067f8a498f87f683a750cc1ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4734",
    "kind": "arxiv",
    "version": 1
  }
}