Pith Number

pith:2KP3Y5CT

pith:2011:2KP3Y5CT24ARRVDFR4IE2E2UJC

not attested not anchored not stored refs pending

On the Edge-balanced Index Sets of Complete Bipartite Graphs

Elliot Krop, Keli Sikes

arxiv:1106.1085 v1 · 2011-06-06 · 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{2KP3Y5CT24ARRVDFR4IE2E2UJC}

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	2026-05-18T04:20:36.466473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29fbc7453d70118d4658f104d135448bd7db6bca1f211efb0b0ff17870b269a

Aliases

arxiv: 1106.1085 · arxiv_version: 1106.1085v1 · doi: 10.48550/arxiv.1106.1085 · pith_short_12: 2KP3Y5CT24AR · pith_short_16: 2KP3Y5CT24ARRVDF · pith_short_8: 2KP3Y5CT

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/2KP3Y5CT24ARRVDFR4IE2E2UJC \
  | 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: d29fbc7453d70118d4658f104d135448bd7db6bca1f211efb0b0ff17870b269a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1115a5bc1bf2a8fca5ecbc6ce384896f6fcf570721a9864e7999014cc08094d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-06T15:03:27Z",
    "title_canon_sha256": "2e937e4d680906076a517530650c1f52901f1f8c1aa8890c567bca9a56d08853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1085",
    "kind": "arxiv",
    "version": 1
  }
}