Pith Number

pith:MSLYYYPH

pith:2026:MSLYYYPHRRRG3WCXJSGQC5JCFD

not attested not anchored not stored refs pending

The Complete Extended Euclidean Scheme Is Not in Piecewise Arithmetic $\mathrm{AC}^0$

Amiel Ferman

arxiv:2608.01987 v1 · 2026-08-03 · 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{MSLYYYPHRRRG3WCXJSGQC5JCFD}

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	2026-08-04T02:10:26.783041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64978c61e78c626dd8574c8d01752228e31cda544179c4e8bbd32ad0c98e0bb3

Aliases

arxiv: 2608.01987 · arxiv_version: 2608.01987v1 · doi: 10.48550/arxiv.2608.01987 · pith_short_12: MSLYYYPHRRRG · pith_short_16: MSLYYYPHRRRG3WCX · pith_short_8: MSLYYYPH

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/MSLYYYPHRRRG3WCXJSGQC5JCFD \
  | 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: 64978c61e78c626dd8574c8d01752228e31cda544179c4e8bbd32ad0c98e0bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa36a2c40c1ef622bbbd774adf8fad428db557a9df042adf8353160bbf74854d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-08-03T09:48:19Z",
    "title_canon_sha256": "5000ec7ec2c74ecfb557ad566ea02c2ef3876883386daa5f160743c7499f0924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01987",
    "kind": "arxiv",
    "version": 1
  }
}