Pith Number

pith:7VGM552A

pith:2015:7VGM552A2UJZBS6QF5OIT5WFYP

not attested not anchored not stored refs pending

Toric rings, inseparability and rigidity

Dancheng Lu, J\"urgen Herzog, Mina Bigdeli

arxiv:1508.01290 v2 · 2015-08-06 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VGM552A2UJZBS6QF5OIT5WFYP}

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	2026-05-18T00:17:55.489763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4ccef740d51390cbd02f5c89f6c5c3cf5edb789bca00122caaaf64cf2356b5

Aliases

arxiv: 1508.01290 · arxiv_version: 1508.01290v2 · doi: 10.48550/arxiv.1508.01290 · pith_short_12: 7VGM552A2UJZ · pith_short_16: 7VGM552A2UJZBS6Q · pith_short_8: 7VGM552A

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/7VGM552A2UJZBS6QF5OIT5WFYP \
  | 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: fd4ccef740d51390cbd02f5c89f6c5c3cf5edb789bca00122caaaf64cf2356b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448d76dc8b8f89a710d999a63460b42b9b262887ab47987a8d5c30bcdd7fadba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-06T06:46:52Z",
    "title_canon_sha256": "d1221c14fa3f5fdfabdb78259321b137df405ffbfa1ebc0c42becb9fd3b0cd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01290",
    "kind": "arxiv",
    "version": 2
  }
}