Pith Number

pith:YICP7TEV

pith:2015:YICP7TEVPXZ7A4RZRO45CT2D5N

not attested not anchored not stored refs pending

On teaching sets of k-threshold functions

Elena Zamaraeva

arxiv:1502.04340 v2 · 2015-02-15 · 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{YICP7TEVPXZ7A4RZRO45CT2D5N}

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	2026-05-18T01:03:31.166331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c204ffcc957df3f072398bb9d14f43eb6b226d3a2a2210b5f66e84bd743d07ac

Aliases

arxiv: 1502.04340 · arxiv_version: 1502.04340v2 · doi: 10.48550/arxiv.1502.04340 · pith_short_12: YICP7TEVPXZ7 · pith_short_16: YICP7TEVPXZ7A4RZ · pith_short_8: YICP7TEV

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/YICP7TEVPXZ7A4RZRO45CT2D5N \
  | 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: c204ffcc957df3f072398bb9d14f43eb6b226d3a2a2210b5f66e84bd743d07ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e743c39a00f68b63e0b69180a16b26dbe1487c64a29838dc3d98ba7bf1469c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-15T18:01:08Z",
    "title_canon_sha256": "8b7ff2205cf1def31b4711726b65ab6c1777494eece0477401baa1aa5496627d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04340",
    "kind": "arxiv",
    "version": 2
  }
}