Pith Number

pith:GYNCBANW

pith:2016:GYNCBANW2OT3ETHUF5I3MDIBXL

not attested not anchored not stored refs pending

Betti splittings for powers of sums of ideals

Hop D. Nguyen

arxiv:1605.09621 v3 · 2016-05-31 · math.AC · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYNCBANW2OT3ETHUF5I3MDIBXL}

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	2026-05-18T01:10:23.222651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361a2081b6d3a7b24cf42f51b60d01bae9686c73c518db5804d6cc7694d17d11

Aliases

arxiv: 1605.09621 · arxiv_version: 1605.09621v3 · doi: 10.48550/arxiv.1605.09621 · pith_short_12: GYNCBANW2OT3 · pith_short_16: GYNCBANW2OT3ETHU · pith_short_8: GYNCBANW

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/GYNCBANW2OT3ETHUF5I3MDIBXL \
  | 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: 361a2081b6d3a7b24cf42f51b60d01bae9686c73c518db5804d6cc7694d17d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd2c072fdb209f933e0fa7fcd132b33472cc2d79b568a35fdb11133cff011a9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-05-31T13:24:31Z",
    "title_canon_sha256": "95ee4d4593cfce83bec1bf9bdc56f70e6de80c4a01ec2c8acb5f0a2a05311a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09621",
    "kind": "arxiv",
    "version": 3
  }
}