Pith Number

pith:CL7PPYAW

pith:2013:CL7PPYAWMXG67ELM5YJIVFFAKJ

not attested not anchored not stored refs pending

Algebraic Complexity Classes

Meena Mahajan

arxiv:1307.3863 v2 · 2013-07-15 · 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{CL7PPYAWMXG67ELM5YJIVFFAKJ}

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	2026-05-18T03:05:18.277620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fef7e01665cdef916cee128a94a052755e45d7395a9402475feee0ed607abc

Aliases

arxiv: 1307.3863 · arxiv_version: 1307.3863v2 · doi: 10.48550/arxiv.1307.3863 · pith_short_12: CL7PPYAWMXG6 · pith_short_16: CL7PPYAWMXG67ELM · pith_short_8: CL7PPYAW

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/CL7PPYAWMXG67ELM5YJIVFFAKJ \
  | 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: 12fef7e01665cdef916cee128a94a052755e45d7395a9402475feee0ed607abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878a1b018d005cd1d31544081832df832c6c6e5a526b991b28ae6156c85751e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-07-15T09:31:15Z",
    "title_canon_sha256": "c38e5c93709aa2dde4fa20db63d9f1bf9172619287d9efd6006c4673d32b389d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3863",
    "kind": "arxiv",
    "version": 2
  }
}