Pith Number

pith:2TYQKTPS

pith:2025:2TYQKTPSHJPRFCG3LFIVKSC3SK

not attested not anchored not stored refs pending

Identity Testing for Circuits with Exponentiation Gates

Jiatu Li, Mengdi Wu

arxiv:2506.04529 v1 · 2025-06-05 · 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{2TYQKTPSHJPRFCG3LFIVKSC3SK}

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	2026-07-05T11:16:16.004950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f1054df23a5f1288db595155485b929ecb7c9bfcfdc2120cddd60682c44383

Aliases

arxiv: 2506.04529 · arxiv_version: 2506.04529v1 · doi: 10.48550/arxiv.2506.04529 · pith_short_12: 2TYQKTPSHJPR · pith_short_16: 2TYQKTPSHJPRFCG3 · pith_short_8: 2TYQKTPS

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/2TYQKTPSHJPRFCG3LFIVKSC3SK \
  | 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: d4f1054df23a5f1288db595155485b929ecb7c9bfcfdc2120cddd60682c44383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187c6d3abacaaef4988b3ee1b3e9f6296202a4c706466cf0b342700b0567a800",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-06-05T00:42:44Z",
    "title_canon_sha256": "3df30b87f636d920830a32905bd6672b3f366623e9efdafcda7903b33dc9f5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04529",
    "kind": "arxiv",
    "version": 1
  }
}