Pith Number

pith:434Z4CLS

pith:2016:434Z4CLS52VKSBOEP7IPU2E7ZT

not attested not anchored not stored refs pending

High girth hypergraphs with unavoidable monochromatic or rainbow edges

Annette Karrer, Maria Axenovich

arxiv:1607.06600 v2 · 2016-07-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{434Z4CLS52VKSBOEP7IPU2E7ZT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:08:33.839219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f99e0972eeaaa905c47fd0fa689fcce99cb9822f0f3c6d53fdb9aeb4d96074

Aliases

arxiv: 1607.06600 · arxiv_version: 1607.06600v2 · doi: 10.48550/arxiv.1607.06600 · pith_short_12: 434Z4CLS52VK · pith_short_16: 434Z4CLS52VKSBOE · pith_short_8: 434Z4CLS

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/434Z4CLS52VKSBOEP7IPU2E7ZT \
  | 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: e6f99e0972eeaaa905c47fd0fa689fcce99cb9822f0f3c6d53fdb9aeb4d96074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c3f1067966acb522e2903e8ae11519041084013171e558841c5939fab025a06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-22T09:03:49Z",
    "title_canon_sha256": "adc579d97343691e1c4afb10f010689a3cc52dc265c434e5a35ee825aab41061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06600",
    "kind": "arxiv",
    "version": 2
  }
}