Pith Number

pith:KWA2M5M7

pith:2017:KWA2M5M7C3DO5OZUN7E5MKETRI

not attested not anchored not stored refs pending

Linear systems over localizations of rings

Sebastian Posur

arxiv:1709.08180 v2 · 2017-09-24 · 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{KWA2M5M7C3DO5OZUN7E5MKETRI}

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	2026-05-18T00:12:48.662043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5581a6759f16c6eebb346fc9d628938a2403032b321158a88311ca5204fbecfc

Aliases

arxiv: 1709.08180 · arxiv_version: 1709.08180v2 · doi: 10.48550/arxiv.1709.08180 · pith_short_12: KWA2M5M7C3DO · pith_short_16: KWA2M5M7C3DO5OZU · pith_short_8: KWA2M5M7

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/KWA2M5M7C3DO5OZUN7E5MKETRI \
  | 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: 5581a6759f16c6eebb346fc9d628938a2403032b321158a88311ca5204fbecfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822164578e25e26d13b53ad327dd69564edf8ee9a99ae1f86e127b50f14bee55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-24T10:51:50Z",
    "title_canon_sha256": "912dfae6a8b665ecb9e0d38a18a699c820f9912ab014ef22447014c0c7194746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08180",
    "kind": "arxiv",
    "version": 2
  }
}