Pith Number

pith:BIG6V2QY

pith:2013:BIG6V2QYRCGUGNKJ7E4LFCHRCD

not attested not anchored not stored refs pending

Lower bounds for the circuit size of partially homogeneous polynomials

H\^ong V\^an L\^e

arxiv:1302.3360 v6 · 2013-02-14 · cs.CC · math.AC · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIG6V2QYRCGUGNKJ7E4LFCHRCD}

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	2026-05-18T00:38:47.002637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0deaea18888d433549f938b288f110c93c916d3ab475d984c7a372871e763d

Aliases

arxiv: 1302.3360 · arxiv_version: 1302.3360v6 · doi: 10.48550/arxiv.1302.3360 · pith_short_12: BIG6V2QYRCGU · pith_short_16: BIG6V2QYRCGUGNKJ · pith_short_8: BIG6V2QY

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/BIG6V2QYRCGUGNKJ7E4LFCHRCD \
  | 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: 0a0deaea18888d433549f938b288f110c93c916d3ab475d984c7a372871e763d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a0eca87f4a2d489dd42096a8be29b36f452ba19eb40fd8747c1bf4e73f2141",
    "cross_cats_sorted": [
      "math.AC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-02-14T10:37:50Z",
    "title_canon_sha256": "af2a5e99ac30763757f27e85d2b3a60a484266e77cac3a056a150f1cb09caa4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3360",
    "kind": "arxiv",
    "version": 6
  }
}