Pith Number

pith:YJTCXE45

pith:2015:YJTCXE45BVMAQXIPINJEB25TYX

not attested not anchored not stored refs pending

Smooth Algebra and Finiteness of the Set of Associated Primes of Local Cohomology Modules

Rajsekhar Bhattacharyya

arxiv:1512.04873 v1 · 2015-12-15 · 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{YJTCXE45BVMAQXIPINJEB25TYX}

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	2026-05-18T01:24:15.192841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2662b939d0d58085d0f435240ebb3c5d3ec05e7678a97afd6d4f023975975d4

Aliases

arxiv: 1512.04873 · arxiv_version: 1512.04873v1 · doi: 10.48550/arxiv.1512.04873 · pith_short_12: YJTCXE45BVMA · pith_short_16: YJTCXE45BVMAQXIP · pith_short_8: YJTCXE45

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/YJTCXE45BVMAQXIPINJEB25TYX \
  | 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: c2662b939d0d58085d0f435240ebb3c5d3ec05e7678a97afd6d4f023975975d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73e584ccf3d91241d0e35136f7ea38be1ee127887e0f708f8ed7f74951471c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-15T17:35:02Z",
    "title_canon_sha256": "07fe6faa627a9684cde5d6a1e8315ad4767d4f7913cb449709d2dcfd64cb125c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04873",
    "kind": "arxiv",
    "version": 1
  }
}