Pith Number

pith:53MYTIVU

pith:2018:53MYTIVUJBU3XQ62FFPYSYAVFI

not attested not anchored not stored refs pending

On the Gauss algebra of toric algebras

Abbas Nasrollah Nejad, J\"urgen Herzog, Raheleh Jafari

arxiv:1804.07971 v2 · 2018-04-21 · math.AG · 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{53MYTIVUJBU3XQ62FFPYSYAVFI}

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	2026-05-18T00:01:19.537004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed989a2b44869bbc3da295f8960152a20748f4021bc3fdeb4c90ac8d84b38f3

Aliases

arxiv: 1804.07971 · arxiv_version: 1804.07971v2 · doi: 10.48550/arxiv.1804.07971 · pith_short_12: 53MYTIVUJBU3 · pith_short_16: 53MYTIVUJBU3XQ62 · pith_short_8: 53MYTIVU

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/53MYTIVUJBU3XQ62FFPYSYAVFI \
  | 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: eed989a2b44869bbc3da295f8960152a20748f4021bc3fdeb4c90ac8d84b38f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0144b8a7f94a58ee2efb5fee8d3f2de4a3ffefbd5467424099c23cda7242dec9",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-21T14:27:14Z",
    "title_canon_sha256": "1580ea865f6cea86a14be12d6a78bf3e08d92231b24a32a627a130dd4de45b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07971",
    "kind": "arxiv",
    "version": 2
  }
}