Pith Number

pith:DUWQXHB7

pith:2015:DUWQXHB7QUGTPIPMQYMDXZJXCM

not attested not anchored not stored refs pending

Parity Decision Tree Complexity and 4-Party Communication Complexity of XOR-functions Are Polynomially Equivalent

Penghui Yao

arxiv:1506.02936 v3 · 2015-06-09 · 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{DUWQXHB7QUGTPIPMQYMDXZJXCM}

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	2026-05-18T01:37:47.119527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2d0b9c3f850d37a1ec86183be537130aa8e9ef888da7c0a0b09506da1f8566

Aliases

arxiv: 1506.02936 · arxiv_version: 1506.02936v3 · doi: 10.48550/arxiv.1506.02936 · pith_short_12: DUWQXHB7QUGT · pith_short_16: DUWQXHB7QUGTPIPM · pith_short_8: DUWQXHB7

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/DUWQXHB7QUGTPIPMQYMDXZJXCM \
  | 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: 1d2d0b9c3f850d37a1ec86183be537130aa8e9ef888da7c0a0b09506da1f8566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868e237507869d86fafcda2063b87875c7908679f801aaab3f3fcbb07dbe34ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-06-09T14:42:20Z",
    "title_canon_sha256": "e054215ecdbdb618624a1074cca381ee4d144d52a28859c3b2381f3dc31f850c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02936",
    "kind": "arxiv",
    "version": 3
  }
}