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Pith Number

pith:ECQK5ZZ7

pith:2011:ECQK5ZZ7OYONRX6ZOI5QSB56Q5
not attested not anchored not stored refs pending

Monoid Valuations and Value Ordered Supervaluations

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1104.2753 v1 · 2011-04-14 · math.AC · math.AG · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ECQK5ZZ7OYONRX6ZOI5QSB56Q5}

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 2026-05-18T04:24:26.887032Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

20a0aee73f761cd8dfd9723b0907be8763fb2f49a239013f119b5d08cd229b8b

Aliases

arxiv: 1104.2753 · arxiv_version: 1104.2753v1 · doi: 10.48550/arxiv.1104.2753 · pith_short_12: ECQK5ZZ7OYON · pith_short_16: ECQK5ZZ7OYONRX6Z · pith_short_8: ECQK5ZZ7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ECQK5ZZ7OYONRX6ZOI5QSB56Q5 \
  | 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: 20a0aee73f761cd8dfd9723b0907be8763fb2f49a239013f119b5d08cd229b8b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e4359c3c2f322d1310b199ec981136c3250d9b16ec77b5f2c2d5f1794c3296b3",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-14T13:07:08Z",
    "title_canon_sha256": "7f84b62e5fdd5cd28bdd12cb9c33d0b38b446c1e73463139716b679cbd6c2755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2753",
    "kind": "arxiv",
    "version": 1
  }
}