Pith Number

pith:ZPHTBQGI

pith:2014:ZPHTBQGIG2S56LDAG7XSMV3YF3

not attested not anchored not stored refs pending

Influential coalitions for Boolean Functions

Gil Kalai, Jean Bourgain, Jeff Kahn

arxiv:1409.3033 v1 · 2014-09-10 · 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{ZPHTBQGIG2S56LDAG7XSMV3YF3}

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	2026-05-18T02:43:08.477835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcf30c0c836a5df2c6037ef2657782eebe5c8d1e83c251cef3c9fdc27d4128d

Aliases

arxiv: 1409.3033 · arxiv_version: 1409.3033v1 · doi: 10.48550/arxiv.1409.3033 · pith_short_12: ZPHTBQGIG2S5 · pith_short_16: ZPHTBQGIG2S56LDA · pith_short_8: ZPHTBQGI

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/ZPHTBQGIG2S56LDAG7XSMV3YF3 \
  | 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: cbcf30c0c836a5df2c6037ef2657782eebe5c8d1e83c251cef3c9fdc27d4128d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1490f5a2bdfc220aa801836b4e74b5d96091a72e1abbb2880144f1eb1adcbdde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-10T11:47:49Z",
    "title_canon_sha256": "2c5835674cc019467c0a287a4ee09251dca5ad65055c4b9dabd8bd6d111eaef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3033",
    "kind": "arxiv",
    "version": 1
  }
}