Pith Number

pith:5SLFXCNM

pith:2019:5SLFXCNMZAILTHWHEEZGLOKNDY

not attested not anchored not stored refs pending

The Injective Spectrum of a Right Noetherian Ring I: Injective Spectra and Krull Dimension

Harry Gulliver

arxiv:1908.05876 v1 · 2019-08-16 · math.RA · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SLFXCNMZAILTHWHEEZGLOKNDY}

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	2026-07-04T23:57:53.930968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec965b89acc810b99ec7213265b94d1e0a40b528d94ad890364fd7cd6f7dc19a

Aliases

arxiv: 1908.05876 · arxiv_version: 1908.05876v1 · doi: 10.48550/arxiv.1908.05876 · pith_short_12: 5SLFXCNMZAIL · pith_short_16: 5SLFXCNMZAILTHWH · pith_short_8: 5SLFXCNM

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/5SLFXCNMZAILTHWHEEZGLOKNDY \
  | 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: ec965b89acc810b99ec7213265b94d1e0a40b528d94ad890364fd7cd6f7dc19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0201da3c49e53582fc242ecee07436c52b3f645e8eefde584d1798b663eabc06",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-16T08:02:31Z",
    "title_canon_sha256": "7e207b3aabfb748310d403742c8edbac6faf040bb6cbe770a91c2d8da173e020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05876",
    "kind": "arxiv",
    "version": 1
  }
}