Pith Number

pith:INAH2Z3H

pith:2016:INAH2Z3HRRPTEYILVJW5RLVYQP

not attested not anchored not stored refs pending

Weak Proregularity, Weak Stability, and the Noncommutative MGM Equivalence

Amnon Yekutieli, Rishi Vyas

arxiv:1608.03543 v3 · 2016-08-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INAH2Z3HRRPTEYILVJW5RLVYQP}

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	2026-05-18T00:08:48.774717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43407d67678c5f32610baa6dd8aeb883cf13eca0247c9544806db658ea10fb62

Aliases

arxiv: 1608.03543 · arxiv_version: 1608.03543v3 · doi: 10.48550/arxiv.1608.03543 · pith_short_12: INAH2Z3HRRPT · pith_short_16: INAH2Z3HRRPTEYIL · pith_short_8: INAH2Z3H

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/INAH2Z3HRRPTEYILVJW5RLVYQP \
  | 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: 43407d67678c5f32610baa6dd8aeb883cf13eca0247c9544806db658ea10fb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a2587fafa6149df521620d8ee1d36eac3ef9cf4b56f1024d9d8cd32774651b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-11T17:35:22Z",
    "title_canon_sha256": "136cf33006efde8385ea31e92f9ca173b626a887d113715d1f70044b5179b99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03543",
    "kind": "arxiv",
    "version": 3
  }
}