Pith Number

pith:XY6IIHMI

pith:2021:XY6IIHMI7D6L75CYURQATCC5JX

not attested not anchored not stored refs pending

Newton-Okounkov body, Rees algebra, and analytic spread of graded families of monomial ideals

Huy Tai Ha, Thai Thanh Nguyen

arxiv:2111.00681 v2 · 2021-11-01 · 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{XY6IIHMI7D6L75CYURQATCC5JX}

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	2026-06-19T16:12:43.554514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3c841d88f8fcbff458a46009885d4df12a3d78d1b38e5550eadd95240f6196

Aliases

arxiv: 2111.00681 · arxiv_version: 2111.00681v2 · doi: 10.48550/arxiv.2111.00681 · pith_short_12: XY6IIHMI7D6L · pith_short_16: XY6IIHMI7D6L75CY · pith_short_8: XY6IIHMI

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/XY6IIHMI7D6L75CYURQATCC5JX \
  | 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: be3c841d88f8fcbff458a46009885d4df12a3d78d1b38e5550eadd95240f6196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5968f5c7999f16630ac19655a4692f33511d35b5144e0e7cf2fa31795877b525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-11-01T03:55:04Z",
    "title_canon_sha256": "1771901aa79ee6e6294abf5dd23e5ded70367ba42d4cebe56a885ee3e95be177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00681",
    "kind": "arxiv",
    "version": 2
  }
}