Pith Number

pith:5IOKLJN4

pith:2026:5IOKLJN4PU4FDKK77GR6F2CWA5

not attested not anchored not stored refs pending

Graded differential polynomial rings

Yassine Ait Mohamed

arxiv:2606.23352 v1 · 2026-06-22 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IOKLJN4PU4FDKK77GR6F2CWA5}

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	2026-06-23T03:14:17.558688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea1ca5a5bc7d3851a95ff9a3e2e8560772603d3560ec727ee91870526c404629

Aliases

arxiv: 2606.23352 · arxiv_version: 2606.23352v1 · doi: 10.48550/arxiv.2606.23352 · pith_short_12: 5IOKLJN4PU4F · pith_short_16: 5IOKLJN4PU4FDKK7 · pith_short_8: 5IOKLJN4

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/5IOKLJN4PU4FDKK77GR6F2CWA5 \
  | 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: ea1ca5a5bc7d3851a95ff9a3e2e8560772603d3560ec727ee91870526c404629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18949e426b75d57476ee3c6ee6a6bc86aa645592f946d163b15c204303f6ae0b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-22T13:54:24Z",
    "title_canon_sha256": "bfcac844e8495460f25181c34db50f04f8be595e52917b4c66ace3444a625811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23352",
    "kind": "arxiv",
    "version": 1
  }
}