Pith Number

pith:VZF2QG7K

pith:2016:VZF2QG7KJWD3POZ6X6CSJTFW7N

not attested not anchored not stored refs pending

Counting SET-free sets

Nate Harman

arxiv:1604.07811 v1 · 2016-04-26 · 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{VZF2QG7KJWD3POZ6X6CSJTFW7N}

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	2026-05-18T01:16:11.934792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4ba81bea4d87b7bb3ebf8524ccb6fb7210d53fcb7e506834f28347648eb0f6

Aliases

arxiv: 1604.07811 · arxiv_version: 1604.07811v1 · doi: 10.48550/arxiv.1604.07811 · pith_short_12: VZF2QG7KJWD3 · pith_short_16: VZF2QG7KJWD3POZ6 · pith_short_8: VZF2QG7K

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/VZF2QG7KJWD3POZ6X6CSJTFW7N \
  | 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: ae4ba81bea4d87b7bb3ebf8524ccb6fb7210d53fcb7e506834f28347648eb0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c9895efcfa78c1f87ef6b3fce7c95f01c27ef0fc862cb20b1ffc21fc32ee49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-26T19:36:47Z",
    "title_canon_sha256": "5db10614a4b4c78eeab3c74d2030ed7ddfc2aca405e24ddc2dc76b19a0280c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07811",
    "kind": "arxiv",
    "version": 1
  }
}