Pith Number

pith:7PCYKYCK

pith:2015:7PCYKYCKXYJEK7OL3DCHYGJ5LK

not attested not anchored not stored refs pending

Low-degree Boolean functions on $S_n$, with an application to isoperimetry

David Ellis, Ehud Friedgut, Yuval Filmus

arxiv:1511.08694 v2 · 2015-11-27 · 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{7PCYKYCKXYJEK7OL3DCHYGJ5LK}

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	2026-05-18T00:41:18.509841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc585604abe12457dcbd8c47c193d5abea57c3cda6b65fdcda0375e7699921b

Aliases

arxiv: 1511.08694 · arxiv_version: 1511.08694v2 · doi: 10.48550/arxiv.1511.08694 · pith_short_12: 7PCYKYCKXYJE · pith_short_16: 7PCYKYCKXYJEK7OL · pith_short_8: 7PCYKYCK

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/7PCYKYCKXYJEK7OL3DCHYGJ5LK \
  | 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: fbc585604abe12457dcbd8c47c193d5abea57c3cda6b65fdcda0375e7699921b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebded41b3805fa1969a42a7d6cb2d8f2adebf749107b5ee168b5e8cb803c44f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-27T14:51:32Z",
    "title_canon_sha256": "2a26c0e078dce2cf9861b3ba18374ea0f77ab6c3d7803c244fa4606270fe4bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08694",
    "kind": "arxiv",
    "version": 2
  }
}