Pith Number

pith:XJOVKR4Z

pith:2011:XJOVKR4Z4J5O6IN66WXRES5L5R

not attested not anchored not stored refs pending

On the Complexity of Edge Packing and Vertex Packing

K. Murali Krishnan, K. N. Parvathy, K. S. Sudeep, Sameera Muhamed Salam

arxiv:1103.5560 v2 · 2011-03-29 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJOVKR4Z4J5O6IN66WXRES5L5R}

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	2026-05-18T04:24:52.687595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5d554799e27aef21bef5af124babec4c89b52479461ae4bee7a8b48ebf43c4

Aliases

arxiv: 1103.5560 · arxiv_version: 1103.5560v2 · doi: 10.48550/arxiv.1103.5560 · pith_short_12: XJOVKR4Z4J5O · pith_short_16: XJOVKR4Z4J5O6IN6 · pith_short_8: XJOVKR4Z

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/XJOVKR4Z4J5O6IN66WXRES5L5R \
  | 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: ba5d554799e27aef21bef5af124babec4c89b52479461ae4bee7a8b48ebf43c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1a53edeaa9bc1a3334bf6a01e90e9a9134f4a98a908c2040d2316ac6ed95be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-03-29T07:53:17Z",
    "title_canon_sha256": "58f619ef4575c14364f0fff50ce144e8bb2ff0c7b7b167903e2612b122db41a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5560",
    "kind": "arxiv",
    "version": 2
  }
}