Pith Number

pith:6D6HGMA7

pith:2017:6D6HGMA72EKIRWEXJ36YHQ522E

not attested not anchored not stored refs pending

Locally unmixed modules and linearly equivalent topologies

Mona Bahadorian, Monireh Sedghi, Reza Naghipour

arxiv:1703.00746 v1 · 2017-03-02 · 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{6D6HGMA72EKIRWEXJ36YHQ522E}

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	2026-05-18T00:49:40.886154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0fc73301fd11488d8974efd83c3bad131936b9d044d0a31ae4a334538599ac9

Aliases

arxiv: 1703.00746 · arxiv_version: 1703.00746v1 · doi: 10.48550/arxiv.1703.00746 · pith_short_12: 6D6HGMA72EKI · pith_short_16: 6D6HGMA72EKIRWEX · pith_short_8: 6D6HGMA7

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/6D6HGMA72EKIRWEXJ36YHQ522E \
  | 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: f0fc73301fd11488d8974efd83c3bad131936b9d044d0a31ae4a334538599ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b958b9500a06cd29af8d324a5ed9f074c729abd4f42ef21e5b5b936a68f104a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-02T12:14:04Z",
    "title_canon_sha256": "720b94e7fb6f8bfaa74273c89a67679cc4cff09e77ff2c951f1ee9bc5adbe941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00746",
    "kind": "arxiv",
    "version": 1
  }
}