Pith Number

pith:33YZOPBS

pith:2020:33YZOPBSRTRC65YR6CJ72DP6JO

not attested not anchored not stored refs pending

Hat Guessing Numbers of Degenerate Graphs

Ray Li, Xiaoyu He

arxiv:2003.04990 v1 · 2020-03-10 · 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{33YZOPBSRTRC65YR6CJ72DP6JO}

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	2026-07-05T00:47:20.104904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def1973c328ce22f7711f093fd0dfe4bbbe35a8cc07f94af885cd9d70c671b9b

Aliases

arxiv: 2003.04990 · arxiv_version: 2003.04990v1 · doi: 10.48550/arxiv.2003.04990 · pith_short_12: 33YZOPBSRTRC · pith_short_16: 33YZOPBSRTRC65YR · pith_short_8: 33YZOPBS

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/33YZOPBSRTRC65YR6CJ72DP6JO \
  | 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: def1973c328ce22f7711f093fd0dfe4bbbe35a8cc07f94af885cd9d70c671b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2a1274e2971a2c77dcfea13a381215ded71d337a222fd136db8e48495b86ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-10T21:03:37Z",
    "title_canon_sha256": "9b2e988f49fc86a540fab35322284cf42409f08d4fffcb39491602749e95dcc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.04990",
    "kind": "arxiv",
    "version": 1
  }
}