Pith Number

pith:2GJPYLUK

pith:2019:2GJPYLUKC6OZUSWQRH32M5FJLR

not attested not anchored not stored refs pending

Depth and detection for Noetherian unstable algebras

Drew Heard

arxiv:1907.06373 v1 · 2019-07-15 · math.AT · math.AC · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GJPYLUKC6OZUSWQRH32M5FJLR}

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	2026-05-17T23:40:37.796151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d192fc2e8a179d9a4ad089f7a674a95c4ff76a5484b052077ec2c70d732d5a9e

Aliases

arxiv: 1907.06373 · arxiv_version: 1907.06373v1 · doi: 10.48550/arxiv.1907.06373 · pith_short_12: 2GJPYLUKC6OZ · pith_short_16: 2GJPYLUKC6OZUSWQ · pith_short_8: 2GJPYLUK

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/2GJPYLUKC6OZUSWQRH32M5FJLR \
  | 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: d192fc2e8a179d9a4ad089f7a674a95c4ff76a5484b052077ec2c70d732d5a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496015f0517e173870f6c284c66b87a6c60e8a59ce541a4e7ca89faf863d2450",
    "cross_cats_sorted": [
      "math.AC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-15T08:54:03Z",
    "title_canon_sha256": "bf3dad4de8d98f160d97aa6290b491ab39c3824c6db487ab0332576686b7c3e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06373",
    "kind": "arxiv",
    "version": 1
  }
}