Pith Number

pith:FVD5KI4U

pith:2010:FVD5KI4UR3DC6EWPMPWINMC4WB

not attested not anchored not stored refs pending

On Unimodality of Hilbert Functions of Gorenstein Artin Algebras of Embedding Dimension Four

Hema Srinivasan, Sumi Seo

arxiv:1011.2732 v1 · 2010-11-11 · 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{FVD5KI4UR3DC6EWPMPWINMC4WB}

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	2026-05-18T04:36:09.658394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d47d523948ec62f12cf63ec86b05cb07aaa7a8f3c36c2ce42a79a106dcf7747

Aliases

arxiv: 1011.2732 · arxiv_version: 1011.2732v1 · doi: 10.48550/arxiv.1011.2732 · pith_short_12: FVD5KI4UR3DC · pith_short_16: FVD5KI4UR3DC6EWP · pith_short_8: FVD5KI4U

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/FVD5KI4UR3DC6EWPMPWINMC4WB \
  | 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: 2d47d523948ec62f12cf63ec86b05cb07aaa7a8f3c36c2ce42a79a106dcf7747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81f8d94579b6d99549547ab5032c37ba024f2a726cce61a2b989ac7f6db001d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-11-11T18:24:33Z",
    "title_canon_sha256": "a5a3e8bf1c652c8453348ba81bbc5527e6ebbdf8eab6e2eee2e93694c48cd190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2732",
    "kind": "arxiv",
    "version": 1
  }
}