Pith Number

pith:TSJVLCYV

pith:2023:TSJVLCYV3UOQXSFL3G3FI6CPO3

not attested not anchored not stored refs pending

Certified Hardness vs. Randomness for Log-Space

Edward Pyne, Ran Raz, Wei Zhan

arxiv:2303.16413 v1 · 2023-03-29 · 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{TSJVLCYV3UOQXSFL3G3FI6CPO3}

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	2026-07-05T05:56:06.573096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c93558b15dd1d0bc8abd9b654784f76c46e6934b680930147d83173d6ad8cc7

Aliases

arxiv: 2303.16413 · arxiv_version: 2303.16413v1 · doi: 10.48550/arxiv.2303.16413 · pith_short_12: TSJVLCYV3UOQ · pith_short_16: TSJVLCYV3UOQXSFL · pith_short_8: TSJVLCYV

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/TSJVLCYV3UOQXSFL3G3FI6CPO3 \
  | 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: 9c93558b15dd1d0bc8abd9b654784f76c46e6934b680930147d83173d6ad8cc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46bff7876922980d012bb8d9c439a0d03ad4dd1ec1deaa9a7644f856c78f6c23",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2023-03-29T02:42:36Z",
    "title_canon_sha256": "d94bf967620caae119862b9f907470e5287c74818f6ec8681a9dfe185f5cae59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.16413",
    "kind": "arxiv",
    "version": 1
  }
}