Pith Number

pith:JLDG2ARU

pith:2025:JLDG2ARUJQIJ6QKZDZ2DXGEPRU

not attested not anchored not stored refs pending

Symbolic Powers of Toric Ideals

Giuseppe Favacchio, Graham Keiper

arxiv:2505.09709 v1 · 2025-05-14 · 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{JLDG2ARUJQIJ6QKZDZ2DXGEPRU}

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	2026-07-05T11:03:27.249344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac66d02344c109f41591e743b988f8d299a32a34d58fb8c7672a96cb63ec1f6

Aliases

arxiv: 2505.09709 · arxiv_version: 2505.09709v1 · doi: 10.48550/arxiv.2505.09709 · pith_short_12: JLDG2ARUJQIJ · pith_short_16: JLDG2ARUJQIJ6QKZ · pith_short_8: JLDG2ARU

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/JLDG2ARUJQIJ6QKZDZ2DXGEPRU \
  | 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: 4ac66d02344c109f41591e743b988f8d299a32a34d58fb8c7672a96cb63ec1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04441c9a077a3e63788f8169fe45180b71e08cbc5a4fda047b30587d562d398",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-05-14T18:10:23Z",
    "title_canon_sha256": "7292ee8191bd8216d9e1b4b49c59e1b23b73f4fa5f3eb220fb5717edeafb2135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09709",
    "kind": "arxiv",
    "version": 1
  }
}