Pith Number

pith:D6D2EGRS

pith:2015:D6D2EGRSSMPPDQQ5VPTA6ITDKK

not attested not anchored not stored refs pending

On the structure of the spectrum of small sets

Kaave Hosseini, Shachar Lovett

arxiv:1504.01059 v1 · 2015-04-04 · 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{D6D2EGRSSMPPDQQ5VPTA6ITDKK}

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	2026-05-18T02:19:35.256093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f87a21a32931ef1c21dabe60f2263529a2459b01d7ac67c0601b3a09c49b551

Aliases

arxiv: 1504.01059 · arxiv_version: 1504.01059v1 · doi: 10.48550/arxiv.1504.01059 · pith_short_12: D6D2EGRSSMPP · pith_short_16: D6D2EGRSSMPPDQQ5 · pith_short_8: D6D2EGRS

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/D6D2EGRSSMPPDQQ5VPTA6ITDKK \
  | 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: 1f87a21a32931ef1c21dabe60f2263529a2459b01d7ac67c0601b3a09c49b551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0149ed444b3a1728ad35bc5dfb2ec4012a99bd3a4ff5f089d7250a81f21a90ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-04T21:42:44Z",
    "title_canon_sha256": "29b595d08a3be56b7493cc93a17827870cf6b73b75b6328b09c6cbe66392ae56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01059",
    "kind": "arxiv",
    "version": 1
  }
}