Pith Number

pith:IDVZZOTP

pith:2025:IDVZZOTPI4IHGYRQLE7SYXXBEY

not attested not anchored not stored refs pending

Cohomology Vanishing theorems over some rings containing nilpotents

Tony J. Puthenpurakal

arxiv:2504.13566 v1 · 2025-04-18 · 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{IDVZZOTPI4IHGYRQLE7SYXXBEY}

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	2026-07-05T10:50:58.057615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40eb9cba6f4710736230593f2c5ee1261512da36497d27987584ed8b2554b250

Aliases

arxiv: 2504.13566 · arxiv_version: 2504.13566v1 · doi: 10.48550/arxiv.2504.13566 · pith_short_12: IDVZZOTPI4IH · pith_short_16: IDVZZOTPI4IHGYRQ · pith_short_8: IDVZZOTP

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/IDVZZOTPI4IHGYRQLE7SYXXBEY \
  | 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: 40eb9cba6f4710736230593f2c5ee1261512da36497d27987584ed8b2554b250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04014e01f3498bcfdd68eb9c1c1a542f15ff14d9ac2de0c2ccfd33d3026ba4e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-04-18T09:08:45Z",
    "title_canon_sha256": "a7b179de6d52a8678a5776e9df45608327d6ac9b4d6dd2c6286e729bd3c788bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13566",
    "kind": "arxiv",
    "version": 1
  }
}