Pith Number

pith:PAPKPVNX

pith:2015:PAPKPVNXRW2HXIUCGEUX3AYTZV

not attested not anchored not stored refs pending

On the vanishing of local cohomology of the absolute integral closure in positive characteristic

Pham Hung Quy

arxiv:1504.02925 v5 · 2015-04-12 · 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{PAPKPVNXRW2HXIUCGEUX3AYTZV}

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	2026-05-18T01:19:12.283845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781ea7d5b78db47ba28231297d8313cd6e4577e3d61b63c050322fca6d8933dd

Aliases

arxiv: 1504.02925 · arxiv_version: 1504.02925v5 · doi: 10.48550/arxiv.1504.02925 · pith_short_12: PAPKPVNXRW2H · pith_short_16: PAPKPVNXRW2HXIUC · pith_short_8: PAPKPVNX

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/PAPKPVNXRW2HXIUCGEUX3AYTZV \
  | 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: 781ea7d5b78db47ba28231297d8313cd6e4577e3d61b63c050322fca6d8933dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bde040e0d59f94372140befecd74e6110235bb1ba14d98b4ec0c4c802a9e243",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-12T02:13:11Z",
    "title_canon_sha256": "9fb5aeaf051eaa87849da3e603414ef44934dbcfeebd332f2dcd7168cf42053b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02925",
    "kind": "arxiv",
    "version": 5
  }
}