Pith Number

pith:3C3YL7WN

pith:2016:3C3YL7WNFCDJ3IHTGBAP4TUYLH

not attested not anchored not stored refs pending

The independence number of non-uniform uncrowded hypergraphs and an anti-Ramsey type result

Hanno Lefmann, Sang June Lee

arxiv:1602.03569 v1 · 2016-02-10 · 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{3C3YL7WNFCDJ3IHTGBAP4TUYLH}

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	2026-05-18T01:20:58.466083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b785fecd28869da0f33040fe4e9859f39cfffeba84bb74712ce8ebb5520bc2

Aliases

arxiv: 1602.03569 · arxiv_version: 1602.03569v1 · doi: 10.48550/arxiv.1602.03569 · pith_short_12: 3C3YL7WNFCDJ · pith_short_16: 3C3YL7WNFCDJ3IHT · pith_short_8: 3C3YL7WN

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/3C3YL7WNFCDJ3IHTGBAP4TUYLH \
  | 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: d8b785fecd28869da0f33040fe4e9859f39cfffeba84bb74712ce8ebb5520bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2df8dccc5985fc8fbea3bdfceafec2a438858e76485aa2294c19b11723bbd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-10T23:13:22Z",
    "title_canon_sha256": "cb1d9adeb671280a10689c3b32237b668821073e5b3b26be78d61d69f3cd7e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03569",
    "kind": "arxiv",
    "version": 1
  }
}