Pith Number

pith:PHULMFHI

pith:2011:PHULMFHIRUBNKYPLOBGTKSVOLP

not attested not anchored not stored refs pending

Monomials in arithmetic circuits: Complete problems in the counting hierarchy

Guillaume Malod, Herv\'e Fournier, Stefan Mengel

arxiv:1110.6271 v2 · 2011-10-28 · 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{PHULMFHIRUBNKYPLOBGTKSVOLP}

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	2026-05-18T03:59:13.696109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e8b614e88d02d561eb704d354aae5bdc78ff463a8b124e9a30af4a8187bbe2

Aliases

arxiv: 1110.6271 · arxiv_version: 1110.6271v2 · doi: 10.48550/arxiv.1110.6271 · pith_short_12: PHULMFHIRUBN · pith_short_16: PHULMFHIRUBNKYPL · pith_short_8: PHULMFHI

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/PHULMFHIRUBNKYPLOBGTKSVOLP \
  | 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: 79e8b614e88d02d561eb704d354aae5bdc78ff463a8b124e9a30af4a8187bbe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e8839e2bd5c9ed01eb9ada39fad7f75cb141388b2e98eca34ec35d3bfe92d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-10-28T07:45:34Z",
    "title_canon_sha256": "2076eaf5cc45c6c6a8f75f8197acd1a0cb57822ee8b123f1845b44c09161c7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6271",
    "kind": "arxiv",
    "version": 2
  }
}