Pith Number

pith:MWKX6TAV

pith:2015:MWKX6TAVZSRN36WRCYPIKMYLGI

not attested not anchored not stored refs pending

The behaviors of expansion functor on monomial ideals and toric rings

Rahim Rahmati-Asghar, Siamak Yassemi

arxiv:1503.03603 v1 · 2015-03-12 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWKX6TAVZSRN36WRCYPIKMYLGI}

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	2026-05-18T00:52:34.603634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65957f4c15cca2ddfad1161e85330b321e46c11f15da65b51b479cc4f49f5ef0

Aliases

arxiv: 1503.03603 · arxiv_version: 1503.03603v1 · doi: 10.48550/arxiv.1503.03603 · pith_short_12: MWKX6TAVZSRN · pith_short_16: MWKX6TAVZSRN36WR · pith_short_8: MWKX6TAV

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/MWKX6TAVZSRN36WRCYPIKMYLGI \
  | 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: 65957f4c15cca2ddfad1161e85330b321e46c11f15da65b51b479cc4f49f5ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf39f6c646a3918475ebd546f5920db70b2021be227412d0ea6b016e0304a04",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-12T06:22:17Z",
    "title_canon_sha256": "07522c04d47c9299d11536b5bda4ce645bcddfedc354e09c3dfb4ab2b4314617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03603",
    "kind": "arxiv",
    "version": 1
  }
}