Pith Number

pith:R6K35OEZ

pith:2013:R6K35OEZT2NTWOVKUZNEOCXHPB

not attested not anchored not stored refs pending

Forbidding a Set Difference of Size 1

Eoin Long, Imre Leader

arxiv:1304.7471 v2 · 2013-04-28 · 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{R6K35OEZT2NTWOVKUZNEOCXHPB}

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	2026-05-18T03:06:32.608006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f95beb8999e9b3b3aaaa65a470ae7787e18291462ff666887ad5fd7699cd7f1

Aliases

arxiv: 1304.7471 · arxiv_version: 1304.7471v2 · doi: 10.48550/arxiv.1304.7471 · pith_short_12: R6K35OEZT2NT · pith_short_16: R6K35OEZT2NTWOVK · pith_short_8: R6K35OEZ

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/R6K35OEZT2NTWOVKUZNEOCXHPB \
  | 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: 8f95beb8999e9b3b3aaaa65a470ae7787e18291462ff666887ad5fd7699cd7f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c63eb018ffbde04d45a6cb76de29376ef58eb5d82f89363945f5729c2f4a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-28T14:45:34Z",
    "title_canon_sha256": "fa42ee04108add4cc911baead5d4bfb15752da1e2796b8b4069dcb1676308428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7471",
    "kind": "arxiv",
    "version": 2
  }
}