Pith Number

pith:XD7NXDQJ

pith:2016:XD7NXDQJX3WQWBEDKTX2VZLY57

not attested not anchored not stored refs pending

Frobenius and Cartier algebras of Stanley-Reisner rings (II)

Alberto F. Boix, Santiago Zarzuela

arxiv:1608.07493 v5 · 2016-08-26 · 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{XD7NXDQJX3WQWBEDKTX2VZLY57}

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	2026-05-18T00:34:35.337372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fedb8e09beed0b048354efaae578efcff4822c4cd8cec82f4cd723c457a6cd

Aliases

arxiv: 1608.07493 · arxiv_version: 1608.07493v5 · doi: 10.48550/arxiv.1608.07493 · pith_short_12: XD7NXDQJX3WQ · pith_short_16: XD7NXDQJX3WQWBED · pith_short_8: XD7NXDQJ

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/XD7NXDQJX3WQWBEDKTX2VZLY57 \
  | 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: b8fedb8e09beed0b048354efaae578efcff4822c4cd8cec82f4cd723c457a6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505f3a70d2b16370d1b55e74a830788d311855abc993b5e9e7aa34b1d2e95a9f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-26T15:24:05Z",
    "title_canon_sha256": "ed825c3eddaa0e9759a93b2ad4931fb75dd324add8b0548ce3352dbcc3595062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07493",
    "kind": "arxiv",
    "version": 5
  }
}