Pith Number

pith:F3M4UO52

pith:2023:F3M4UO52TMEOYINDO25GJQJ4FK

not attested not anchored not stored refs pending

Range Avoidance for Constant-Depth Circuits: Hardness and Algorithms

Alexander Golovnev, Karthik Gajulapalli, Satyajeet Nagargoje, Sidhant Saraogi

arxiv:2303.05044 v2 · 2023-03-09 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3M4UO52TMEOYINDO25GJQJ4FK}

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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.

Cited by

1 paper in Pith

Locally Sampleable Uniform Symmetric Distributions

Receipt and verification

First computed	2026-07-05T06:28:35.205941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ed9ca3bba9b08ec21a376ba64c13c2a88c07f4a7f6ff2f406c090919f7db0d0

Aliases

arxiv: 2303.05044 · arxiv_version: 2303.05044v2 · doi: 10.48550/arxiv.2303.05044 · pith_short_12: F3M4UO52TMEO · pith_short_16: F3M4UO52TMEOYIND · pith_short_8: F3M4UO52

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/F3M4UO52TMEOYINDO25GJQJ4FK \
  | 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: 2ed9ca3bba9b08ec21a376ba64c13c2a88c07f4a7f6ff2f406c090919f7db0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e0908ce09383ebef3c7fea4676548215bfb42383becc06aa86395867a1ebe6",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2023-03-09T05:46:53Z",
    "title_canon_sha256": "d3f985bb482cb2b52213105d179f01f94d54b5b0eb67c7dafaec4cc99128841f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05044",
    "kind": "arxiv",
    "version": 2
  }
}