Pith Number

pith:ZXIJGA4P

pith:2018:ZXIJGA4PPJNTLG7TKG7RNVSM63

not attested not anchored not stored refs pending

Boolean constant degree functions on the slice are juntas

Ferdinand Ihringer, Yuval Filmus

arxiv:1801.06338 v2 · 2018-01-19 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXIJGA4PPJNTLG7TKG7RNVSM63}

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	2026-05-18T00:25:23.078442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd093038f7a5b359bf351bf16d64cf6f4edb7c1e10147a787faf3a8fc9d17b9

Aliases

arxiv: 1801.06338 · arxiv_version: 1801.06338v2 · doi: 10.48550/arxiv.1801.06338 · pith_short_12: ZXIJGA4PPJNT · pith_short_16: ZXIJGA4PPJNTLG7T · pith_short_8: ZXIJGA4P

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/ZXIJGA4PPJNTLG7TKG7RNVSM63 \
  | 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: cdd093038f7a5b359bf351bf16d64cf6f4edb7c1e10147a787faf3a8fc9d17b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9ba9b7a429e972ab0aae72a1d502a5fdf2b8c1c4712fae2a1abe2d51ba51e1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-19T09:27:27Z",
    "title_canon_sha256": "d4db47155f9c52d4b47a00785bd1f9290211cf71d034dce1639b843824cc42b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06338",
    "kind": "arxiv",
    "version": 2
  }
}