Pith Number

pith:YEXRCODG

pith:2026:YEXRCODGEQ5ZLJWFSKEND4GGEI

not attested not anchored not stored refs pending

Localizing subcategories for algebraic stacks

Pat Lank

arxiv:2606.02377 v1 · 2026-06-01 · math.AG · 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{YEXRCODGEQ5ZLJWFSKEND4GGEI}

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	2026-06-02T03:04:57.595662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12f113866243b95a6c59288d1f0c6221ba798ba7a15bbcd48a1b2faff4be748

Aliases

arxiv: 2606.02377 · arxiv_version: 2606.02377v1 · doi: 10.48550/arxiv.2606.02377 · pith_short_12: YEXRCODGEQ5Z · pith_short_16: YEXRCODGEQ5ZLJWF · pith_short_8: YEXRCODG

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/YEXRCODGEQ5ZLJWFSKEND4GGEI \
  | 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: c12f113866243b95a6c59288d1f0c6221ba798ba7a15bbcd48a1b2faff4be748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93f6fed59e8afc5310e29d0145a42f072db12c56a641c35a13a87ad52cc4e10",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-01T15:25:45Z",
    "title_canon_sha256": "5aff2618f905899ceee3eb717d28c8f922493048e66ab0fb5bab04d8721702b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02377",
    "kind": "arxiv",
    "version": 1
  }
}