Pith Number

pith:I6PUYUA2

pith:2016:I6PUYUA24MNOYPRHJKKYVTH3F4

not attested not anchored not stored refs pending

Local cohomology of multi-Rees algebras, Joint reduction numbers and product of complete ideals

J. K. Verma, Parangama Sarkar

arxiv:1601.05615 v2 · 2016-01-21 · 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{I6PUYUA24MNOYPRHJKKYVTH3F4}

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	2026-05-18T01:19:33.834963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479f4c501ae31aec3e274a958accfb2f15a20c9ab9c0bbb8e4d5daa27f101de0

Aliases

arxiv: 1601.05615 · arxiv_version: 1601.05615v2 · doi: 10.48550/arxiv.1601.05615 · pith_short_12: I6PUYUA24MNO · pith_short_16: I6PUYUA24MNOYPRH · pith_short_8: I6PUYUA2

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/I6PUYUA24MNOYPRHJKKYVTH3F4 \
  | 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: 479f4c501ae31aec3e274a958accfb2f15a20c9ab9c0bbb8e4d5daa27f101de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53f5bba270f75e001fd121a932acae39c877a81e6fedaaed9564fc44c889c96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-21T13:06:41Z",
    "title_canon_sha256": "d5986a4ea0aedf4c3464931dcde4841f12a173c69600f85b03bba3a00a8c8e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05615",
    "kind": "arxiv",
    "version": 2
  }
}