Pith Number

pith:J74DTMB6

pith:2026:J74DTMB6APZIPGHV2EO2O3EIVT

not attested not anchored not stored refs pending

On $S$-prime and $S$-primary elements in multiplicative lattices

Chetan Patil, Sachin Sarode, Vinayak Joshi

arxiv:2606.11932 v1 · 2026-06-10 · 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{J74DTMB6APZIPGHV2EO2O3EIVT}

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	2026-06-11T01:10:16.626555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff839b03e03f28798f5d11da76c88acfee44ab046ea04bbfd6afc9cb00b80a4

Aliases

arxiv: 2606.11932 · arxiv_version: 2606.11932v1 · doi: 10.48550/arxiv.2606.11932 · pith_short_12: J74DTMB6APZI · pith_short_16: J74DTMB6APZIPGHV · pith_short_8: J74DTMB6

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/J74DTMB6APZIPGHV2EO2O3EIVT \
  | 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: 4ff839b03e03f28798f5d11da76c88acfee44ab046ea04bbfd6afc9cb00b80a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9574bb6dc7aed03e33cad8799a7cf230af56c11bb2553cb7f80b61ed09f4bc0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-10T11:05:41Z",
    "title_canon_sha256": "493b48ee5fed17acb02bf41cdfb47523d5406b33ff0ba4abdde9728a300e24be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11932",
    "kind": "arxiv",
    "version": 1
  }
}