Pith Number

pith:5VA5HSPN

pith:2024:5VA5HSPNOGTLVQAQMCG4PE6EIM

not attested not anchored not stored refs pending

Direct Sums for Parity Decision Trees

Gilbert Maystre, Mika G\"o\"os, Siyao Guo, Tyler Besselman, Weiqiang Yuan

arxiv:2412.06552 v2 · 2024-12-09 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VA5HSPNOGTLVQAQMCG4PE6EIM}

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	2026-07-05T11:13:16.627954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed41d3c9ed71a6bac010608dc793c443397bf77ebd8be51610677ec46c8c06d1

Aliases

arxiv: 2412.06552 · arxiv_version: 2412.06552v2 · doi: 10.48550/arxiv.2412.06552 · pith_short_12: 5VA5HSPNOGTL · pith_short_16: 5VA5HSPNOGTLVQAQ · pith_short_8: 5VA5HSPN

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/5VA5HSPNOGTLVQAQMCG4PE6EIM \
  | 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: ed41d3c9ed71a6bac010608dc793c443397bf77ebd8be51610677ec46c8c06d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f22b3d3b3ee4e2abc6f3fb073236eae8b291ecb6c30b339b222b22faf87c3f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-12-09T15:01:46Z",
    "title_canon_sha256": "9619b3408825f51ce4e9f819a3a7b61a8be88f8f9876e9a7bf1c5cbcc983a63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06552",
    "kind": "arxiv",
    "version": 2
  }
}