Pith Number

pith:4GJRAD35

pith:2026:4GJRAD353XNU5EXDD6FCAV5TER

not attested not anchored not stored refs pending

Perfect generation for regular algebraic stacks

Pat Lank

arxiv:2601.04053 v4 · 2026-01-07 · math.AG · math.AC · 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{4GJRAD353XNU5EXDD6FCAV5TER}

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.

Cited by

3 papers in Pith

Localizing subcategories for algebraic stacks

Proxy smallness meets $t$-structures

Remarks on diagonal dimension for algebraic stacks

Receipt and verification

First computed	2026-07-17T01:21:45.229480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e193100f7ddddb4e92e31f8a2057b3246e6080a62082edf678ab455dba94268c

Aliases

arxiv: 2601.04053 · arxiv_version: 2601.04053v4 · doi: 10.48550/arxiv.2601.04053 · pith_short_12: 4GJRAD353XNU · pith_short_16: 4GJRAD353XNU5EXD · pith_short_8: 4GJRAD35

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/4GJRAD353XNU5EXDD6FCAV5TER \
  | 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: e193100f7ddddb4e92e31f8a2057b3246e6080a62082edf678ab455dba94268c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34a3bc57f934f2bc8a1cfd5d2ccf3e21898a9133c3eaf920b6796a146f4010d",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-01-07T16:17:36Z",
    "title_canon_sha256": "350228a18bcc221ffa2798bcd837f214c2f44506b6c964e966f48924e1d376ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04053",
    "kind": "arxiv",
    "version": 4
  }
}