Pith Number

pith:DUFXCJGA

pith:2015:DUFXCJGANIU7I4KPWJITA57SEJ

not attested not anchored not stored refs pending

Noncommutative Valiant's Classes: Structure and Complete Problems

Pushkar S Joglekar, S. Raja, V. Arvind

arxiv:1508.00395 v1 · 2015-08-03 · 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{DUFXCJGANIU7I4KPWJITA57SEJ}

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	2026-05-18T01:35:58.220284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0b7124c06a29f4714fb2513077f2224d66487a5688ead36ff4a67eef48feeb

Aliases

arxiv: 1508.00395 · arxiv_version: 1508.00395v1 · doi: 10.48550/arxiv.1508.00395 · pith_short_12: DUFXCJGANIU7 · pith_short_16: DUFXCJGANIU7I4KP · pith_short_8: DUFXCJGA

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/DUFXCJGANIU7I4KPWJITA57SEJ \
  | 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: 1d0b7124c06a29f4714fb2513077f2224d66487a5688ead36ff4a67eef48feeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0eed89bf3477bc35cd0b516004cd104f66a2f41be1394f10b5a8612497aa49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-08-03T12:23:07Z",
    "title_canon_sha256": "404888e4fb2b1ea5498e152c7c8d325477f5cd058a19777544adc2a6189341f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00395",
    "kind": "arxiv",
    "version": 1
  }
}