Pith Number

pith:NQ3VF33I

pith:2024:NQ3VF33ICWKG7VS7Z25YPWPSQO

not attested not anchored not stored refs pending

Arithmetic-term representations for the greatest common divisor

Joseph Shunia, Mihai Prunescu

arxiv:2411.06430 v2 · 2024-11-10 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQ3VF33ICWKG7VS7Z25YPWPSQO}

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.

Cited by

1 paper in Pith

Undecidability, Chaos and Universality in Arithmetic Terms

Receipt and verification

First computed	2026-07-05T11:19:50.008800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3752ef6815946fd65fcebb87d9f283b51588c2f7e366ac981762a190e5482e

Aliases

arxiv: 2411.06430 · arxiv_version: 2411.06430v2 · doi: 10.48550/arxiv.2411.06430 · pith_short_12: NQ3VF33ICWKG · pith_short_16: NQ3VF33ICWKG7VS7 · pith_short_8: NQ3VF33I

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/NQ3VF33ICWKG7VS7Z25YPWPSQO \
  | 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: 6c3752ef6815946fd65fcebb87d9f283b51588c2f7e366ac981762a190e5482e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf4fb82bf6ec325c521bcc89f836c7d6d44c9c8bb2eecdf767eefe1e5a58d52",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-10T11:21:39Z",
    "title_canon_sha256": "7f9688393b6a79e6b3dfda227e66e87e3d2c5408c4b0f1e78f933023fbdbd930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.06430",
    "kind": "arxiv",
    "version": 2
  }
}