Pith Number

pith:CXO6TU6P

pith:2013:CXO6TU6PH2GWL4HZI3634W5VZM

not attested not anchored not stored refs pending

On the Limits of Depth Reduction at Depth 3 Over Small Finite Fields

Partha Mukhopadhyay, Suryajith Chillara

arxiv:1401.0189 v1 · 2013-12-31 · 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{CXO6TU6PH2GWL4HZI3634W5VZM}

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	2026-05-18T03:03:30.800737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15dde9d3cf3e8d65f0f946fdbe5bb5cb3366ecd835b5af7bf3f85edaf0bbfb86

Aliases

arxiv: 1401.0189 · arxiv_version: 1401.0189v1 · doi: 10.48550/arxiv.1401.0189 · pith_short_12: CXO6TU6PH2GW · pith_short_16: CXO6TU6PH2GWL4HZ · pith_short_8: CXO6TU6P

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/CXO6TU6PH2GWL4HZI3634W5VZM \
  | 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: 15dde9d3cf3e8d65f0f946fdbe5bb5cb3366ecd835b5af7bf3f85edaf0bbfb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2cd03428efdf3611730138490d6fc4e251ada2b47e4fd6120a6bf338e115abf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-12-31T17:08:36Z",
    "title_canon_sha256": "b4d8f1441c585821ebc16ce8183309c4d21f1273cbc4aaa5749f38f111473d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0189",
    "kind": "arxiv",
    "version": 1
  }
}