Pith Number

pith:CDX3S5QN

pith:2026:CDX3S5QNCV7MUC7A4KDC4DJNQB

not attested not anchored not stored refs pending

Factoring maps to big Cohen-Macaulay algebras through blowups

Karl Schwede

arxiv:2607.08965 v1 · 2026-07-09 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDX3S5QNCV7MUC7A4KDC4DJNQB}

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	2026-07-13T00:17:30.522842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10efb9760d157eca0be0e2862e0d2d807b6b4f04f8515b801de8793bd11a9be0

Aliases

arxiv: 2607.08965 · arxiv_version: 2607.08965v1 · doi: 10.48550/arxiv.2607.08965 · pith_short_12: CDX3S5QNCV7M · pith_short_16: CDX3S5QNCV7MUC7A · pith_short_8: CDX3S5QN

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/CDX3S5QNCV7MUC7A4KDC4DJNQB \
  | 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: 10efb9760d157eca0be0e2862e0d2d807b6b4f04f8515b801de8793bd11a9be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0dbde6b06eee10061fe68bae3dd7225600ecdce3bb2e11a7427edaaa128f24f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-07-09T22:01:42Z",
    "title_canon_sha256": "fd40e4d7acf5e1c0d3276e8bd4f35ba7db9324406cb40ae9630bafba2f2c6ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08965",
    "kind": "arxiv",
    "version": 1
  }
}