Pith Number

pith:JKOSBI5A

pith:2013:JKOSBI5AFGM7KZ46RYHDBMFVSD

not attested not anchored not stored refs pending

Saturations of powers of certain determinantal ideals

Koji Nishida, Kosuke Fukumuro, Taro Inagawa

arxiv:1307.0593 v1 · 2013-07-02 · 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{JKOSBI5AFGM7KZ46RYHDBMFVSD}

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	2026-05-18T03:19:25.206971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9d20a3a02999f5679e8e0e30b0b590c09c7629a74d4f30e57799a97ed8865e

Aliases

arxiv: 1307.0593 · arxiv_version: 1307.0593v1 · doi: 10.48550/arxiv.1307.0593 · pith_short_12: JKOSBI5AFGM7 · pith_short_16: JKOSBI5AFGM7KZ46 · pith_short_8: JKOSBI5A

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/JKOSBI5AFGM7KZ46RYHDBMFVSD \
  | 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: 4a9d20a3a02999f5679e8e0e30b0b590c09c7629a74d4f30e57799a97ed8865e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e213c81b9b956e951cade14e44d9aadb9bd204a0976d3b792c07893425fc87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-02T06:12:26Z",
    "title_canon_sha256": "4deb4f7677b9f47bcc61c0c88cf25eded233b73fe49bc4b311cf6f3c1e92ff94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0593",
    "kind": "arxiv",
    "version": 1
  }
}