Pith Number

pith:U46EDYLC

pith:2013:U46EDYLCSGMNAJS6EXXNJT5NVW

not attested not anchored not stored refs pending

Regularity and linearity defect of modules over local rings

Maria Evelina Rossi, Rasoul Ahangari Maleki

arxiv:1309.4538 v2 · 2013-09-18 · 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{U46EDYLCSGMNAJS6EXXNJT5NVW}

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	2026-05-18T03:12:45.920945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73c41e1629198d0265e25eed4cfadad896ebe795e786c345fa07961aedfaae1

Aliases

arxiv: 1309.4538 · arxiv_version: 1309.4538v2 · doi: 10.48550/arxiv.1309.4538 · pith_short_12: U46EDYLCSGMN · pith_short_16: U46EDYLCSGMNAJS6 · pith_short_8: U46EDYLC

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/U46EDYLCSGMNAJS6EXXNJT5NVW \
  | 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: a73c41e1629198d0265e25eed4cfadad896ebe795e786c345fa07961aedfaae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e814e47c8b25c238b14350e805911f509a56e39cdc4d6a73f7bcb63a662551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-18T05:14:34Z",
    "title_canon_sha256": "02e43fa1a17360d0a53ebee4711bf7b58f7bbafa82186da2e99d4544c1b86efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4538",
    "kind": "arxiv",
    "version": 2
  }
}