Pith Number

pith:XZD4W4PD

pith:2012:XZD4W4PDCUWQK6TL57KRKIW3GO

not attested not anchored not stored refs pending

Vertex Ramsey problems in the hypercube

John Goldwasser, John Talbot

arxiv:1211.0168 v1 · 2012-11-01 · 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{XZD4W4PDCUWQK6TL57KRKIW3GO}

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	2026-05-18T03:41:42.931440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be47cb71e3152d057a6befd51522db3393c950011e6791bbd2f8f88533a2f0ad

Aliases

arxiv: 1211.0168 · arxiv_version: 1211.0168v1 · doi: 10.48550/arxiv.1211.0168 · pith_short_12: XZD4W4PDCUWQ · pith_short_16: XZD4W4PDCUWQK6TL · pith_short_8: XZD4W4PD

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/XZD4W4PDCUWQK6TL57KRKIW3GO \
  | 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: be47cb71e3152d057a6befd51522db3393c950011e6791bbd2f8f88533a2f0ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4a4007a337313d42d23ed4b49f3d4a6bbd55d1ec4c3bac454e4bac32ba7167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-01T13:07:09Z",
    "title_canon_sha256": "85fbcb75839ef520f0a7fcfa5532f2151f61f1cef5fba4d9b2cc386bf253aadd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0168",
    "kind": "arxiv",
    "version": 1
  }
}