Pith Number

pith:ASCAFEFQ

pith:2018:ASCAFEFQHDERUYWOUY2CWDLO4Z

not attested not anchored not stored refs pending

Parity Decision Tree Complexity is Greater Than Granularity

Anastasiya Chistopolskaya, Vladimir V. Podolskii

arxiv:1810.08668 v2 · 2018-10-19 · 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{ASCAFEFQHDERUYWOUY2CWDLO4Z}

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	2026-05-18T00:02:15.529715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04840290b038c91a62cea6342b0d6ee65489661c98bcf8bcc0e63635e266b280

Aliases

arxiv: 1810.08668 · arxiv_version: 1810.08668v2 · doi: 10.48550/arxiv.1810.08668 · pith_short_12: ASCAFEFQHDER · pith_short_16: ASCAFEFQHDERUYWO · pith_short_8: ASCAFEFQ

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/ASCAFEFQHDERUYWOUY2CWDLO4Z \
  | 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: 04840290b038c91a62cea6342b0d6ee65489661c98bcf8bcc0e63635e266b280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1155e9d74829a3adba050e7a5f6c5bba5476768dad31e12690d8223fc506b95e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-10-19T19:58:59Z",
    "title_canon_sha256": "dc318d98e3fa8e13d73915ad2bd2d7a94e9463d8efa7dc337d8b081f157162a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08668",
    "kind": "arxiv",
    "version": 2
  }
}