Pith Number

pith:G7T33JDH

pith:2019:G7T33JDHBWTVIBN7HSISUA6VXY

not attested not anchored not stored refs pending

The Injective Spectrum of a Right Noetherian Ring II: Sheaves and Torsion Theories

Harry Gulliver

arxiv:1908.05880 v1 · 2019-08-16 · math.CT · math.AG · 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{G7T33JDHBWTVIBN7HSISUA6VXY}

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	2026-07-04T23:57:53.991718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e7bda4670da75405bf3c912a03d5be343a11c496ec1fcd5cecb5c8e8619e9a

Aliases

arxiv: 1908.05880 · arxiv_version: 1908.05880v1 · doi: 10.48550/arxiv.1908.05880 · pith_short_12: G7T33JDHBWTV · pith_short_16: G7T33JDHBWTVIBN7 · pith_short_8: G7T33JDH

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/G7T33JDHBWTVIBN7HSISUA6VXY \
  | 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: 37e7bda4670da75405bf3c912a03d5be343a11c496ec1fcd5cecb5c8e8619e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893e9de5ec86183ea433642f2c0d176d113dc157bc7d91beb3e5346667c81628",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-16T08:08:17Z",
    "title_canon_sha256": "22562e44e5c692169946aae1fdbdda85128e65d6bbac74b8c4ffb93bcdd454f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05880",
    "kind": "arxiv",
    "version": 1
  }
}