Pith Number

pith:JFQ3ONKV

pith:2013:JFQ3ONKVA5WTBMVVAQHHVVIBHM

not attested not anchored not stored refs pending

Bounds for the first Hilbert coefficients of ${\mathfrak m}$-primary ideals

Asuki Koura, Naoki Taniguchi

arxiv:1304.6793 v4 · 2013-04-25 · 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{JFQ3ONKVA5WTBMVVAQHHVVIBHM}

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	2026-05-18T03:04:06.531070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4961b73555076d30b2b5040e7ad5013b1291f31aa86a0ef9b956e25dec5c9e6d

Aliases

arxiv: 1304.6793 · arxiv_version: 1304.6793v4 · doi: 10.48550/arxiv.1304.6793 · pith_short_12: JFQ3ONKVA5WT · pith_short_16: JFQ3ONKVA5WTBMVV · pith_short_8: JFQ3ONKV

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/JFQ3ONKVA5WTBMVVAQHHVVIBHM \
  | 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: 4961b73555076d30b2b5040e7ad5013b1291f31aa86a0ef9b956e25dec5c9e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa30ecaa8fb4fafa6edc17473fc1ad28d5bd6371e93f3d925cc045452153393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-25T03:12:52Z",
    "title_canon_sha256": "6696ebb6dc808bbf39102df25797f9a908ce2090320bf0f26054ca498b351afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6793",
    "kind": "arxiv",
    "version": 4
  }
}