Pith Number

pith:KXER3QQQ

pith:2013:KXER3QQQEXGCP6ZDYSDTGXRO7W

not attested not anchored not stored refs pending

Symbolic Powers of Monomial Ideals

Andrew H. Hoefel, Huy T\`ai H\`a, Robert J. D. Embree, Susan M. Cooper

arxiv:1309.5082 v4 · 2013-09-19 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXER3QQQEXGCP6ZDYSDTGXRO7W}

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	2026-05-18T01:22:08.791812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c91dc21025cc27fb23c487335e2efd87194731697840b04c1f21fc6833e4c9

Aliases

arxiv: 1309.5082 · arxiv_version: 1309.5082v4 · doi: 10.48550/arxiv.1309.5082 · pith_short_12: KXER3QQQEXGC · pith_short_16: KXER3QQQEXGCP6ZD · pith_short_8: KXER3QQQ

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/KXER3QQQEXGCP6ZDYSDTGXRO7W \
  | 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: 55c91dc21025cc27fb23c487335e2efd87194731697840b04c1f21fc6833e4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e68211246d04d89ad4f9fecd6ea8f1fa1041d575ab1d23d7f4f1051aa4d5dec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-19T19:58:53Z",
    "title_canon_sha256": "ca2200a43e53386f3263682b3382655b605f6f5dab1f9674e175f4250c3589fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5082",
    "kind": "arxiv",
    "version": 4
  }
}