Pith Number

pith:NETTM4G4

pith:2024:NETTM4G4PWCFWVFLOCN4XYPODV

not attested not anchored not stored refs pending

Some new module-theoretic characterizations of $S$-coherent rings

Xiaolei Zhang

arxiv:2411.14142 v3 · 2024-11-21 · 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{NETTM4G4PWCFWVFLOCN4XYPODV}

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	2026-07-05T09:49:12.492458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69273670dc7d845b54ab709bcbe1ee1d5a2366cb077ab5027d6088b17fa397ed

Aliases

arxiv: 2411.14142 · arxiv_version: 2411.14142v3 · doi: 10.48550/arxiv.2411.14142 · pith_short_12: NETTM4G4PWCF · pith_short_16: NETTM4G4PWCFWVFL · pith_short_8: NETTM4G4

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/NETTM4G4PWCFWVFLOCN4XYPODV \
  | 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: 69273670dc7d845b54ab709bcbe1ee1d5a2366cb077ab5027d6088b17fa397ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5582abe48c453c95da7254608773abb38e66abb5121bcc44f622d81e320fe904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-21T14:05:37Z",
    "title_canon_sha256": "9a74fa1675ddf6675be253eb4a0a7eda1b367409c170458a01b9a612ace4da54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14142",
    "kind": "arxiv",
    "version": 3
  }
}