Pith Number

pith:3PNC6YWZ

pith:2020:3PNC6YWZ2PFVH4J43GT2AGITWS

not attested not anchored not stored refs pending

Cohen-Macaulayness of absolute integral closures

Bhargav Bhatt

arxiv:2008.08070 v2 · 2020-08-18 · 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{3PNC6YWZ2PFVH4J43GT2AGITWS}

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

4 papers in Pith

Decomposition Theorem for Perfectoid Rings along General Ideals

On the Schematic and Analytic Constructions of the Local Langlands Category

Vanishing of cohomology in infinitely ramified towers

Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings

Receipt and verification

First computed	2026-07-05T03:19:39.903496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbda2f62d9d3cb53f13cd9a7a01913b49e1fc28c1f4e565a00916eaab6936f09

Aliases

arxiv: 2008.08070 · arxiv_version: 2008.08070v2 · doi: 10.48550/arxiv.2008.08070 · pith_short_12: 3PNC6YWZ2PFV · pith_short_16: 3PNC6YWZ2PFVH4J4 · pith_short_8: 3PNC6YWZ

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/3PNC6YWZ2PFVH4J43GT2AGITWS \
  | 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: dbda2f62d9d3cb53f13cd9a7a01913b49e1fc28c1f4e565a00916eaab6936f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efd8d08be19fa4cddb8e54f4bcf355d790ec4d34c19be94900cdd246549c8ef",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-08-18T17:51:53Z",
    "title_canon_sha256": "cd934b78a09485597a2b7d79e78f417120cf601461450e43da75d8b9b4a10c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08070",
    "kind": "arxiv",
    "version": 2
  }
}