Pith Number

pith:XU5DC7D4

pith:2023:XU5DC7D4DLC36TFXUGMNHIWHIO

not attested not anchored not stored refs pending

The toric ring of one dimensional simplicial complexes

Antonino Ficarra, Dumitru I. Stamate, J\"urgen Herzog

arxiv:2306.05020 v1 · 2023-06-08 · 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{XU5DC7D4DLC36TFXUGMNHIWHIO}

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.

Cited by

1 paper in Pith

Sortable simplicial complexes and their associated toric rings

Receipt and verification

First computed	2026-07-05T06:18:44.841605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3a317c7c1ac5bf4cb7a198d3a2c743abb2a3614a37c9cf5bc52f9952a5c4b7

Aliases

arxiv: 2306.05020 · arxiv_version: 2306.05020v1 · doi: 10.48550/arxiv.2306.05020 · pith_short_12: XU5DC7D4DLC3 · pith_short_16: XU5DC7D4DLC36TFX · pith_short_8: XU5DC7D4

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/XU5DC7D4DLC36TFXUGMNHIWHIO \
  | 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: bd3a317c7c1ac5bf4cb7a198d3a2c743abb2a3614a37c9cf5bc52f9952a5c4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a578d14093e9364eddf26a6cbf317ffff4df77ce4a3d0e8230eb3cae97134863",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-06-08T08:16:29Z",
    "title_canon_sha256": "dd00afe5d5f90e6e623c2e43cc149659d6dbef6e29a51474769c3adfcb1cec5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05020",
    "kind": "arxiv",
    "version": 1
  }
}