Pith Number

pith:WLNC5NHY

pith:2014:WLNC5NHYJGD3IPTLIHVBKKGILQ

not attested not anchored not stored refs pending

Friedgut--Kalai--Naor theorem for slices of the Boolean cube

Yuval Filmus

arxiv:1410.7834 v3 · 2014-10-28 · 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{WLNC5NHYJGD3IPTLIHVBKKGILQ}

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	2026-05-18T01:15:59.007789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2da2eb4f84987b43e6b41ea1528c85c11673ac888e7b0958a2025b906543eb9

Aliases

arxiv: 1410.7834 · arxiv_version: 1410.7834v3 · doi: 10.48550/arxiv.1410.7834 · pith_short_12: WLNC5NHYJGD3 · pith_short_16: WLNC5NHYJGD3IPTL · pith_short_8: WLNC5NHY

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/WLNC5NHYJGD3IPTLIHVBKKGILQ \
  | 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: b2da2eb4f84987b43e6b41ea1528c85c11673ac888e7b0958a2025b906543eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9ef384c7cc4fe88ffeef25124fe2bcdef6a261c5ac7e427013cb2dec78ad61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-28T22:34:59Z",
    "title_canon_sha256": "01e9b932ef780c54e6147961ccd2aea8374fa5596b33902b9c7b245a15566b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7834",
    "kind": "arxiv",
    "version": 3
  }
}