Pith Number

pith:TS5IKB4R

pith:2023:TS5IKB4RV4JT3ZOJWZOPH4U6J6

not attested not anchored not stored refs pending

Homological Shift Ideals: Macaulay2 Package

Antonino Ficarra

arxiv:2309.09271 v1 · 2023-09-17 · 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{TS5IKB4RV4JT3ZOJWZOPH4U6J6}

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

Principal vector-spread Borel ideals

Receipt and verification

First computed	2026-07-05T06:51:36.737808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cba850791af133de5c9b65cf3f29e4f8d3ba166242ab9f12c311b5ac2ac7d5b

Aliases

arxiv: 2309.09271 · arxiv_version: 2309.09271v1 · doi: 10.48550/arxiv.2309.09271 · pith_short_12: TS5IKB4RV4JT · pith_short_16: TS5IKB4RV4JT3ZOJ · pith_short_8: TS5IKB4R

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/TS5IKB4RV4JT3ZOJWZOPH4U6J6 \
  | 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: 9cba850791af133de5c9b65cf3f29e4f8d3ba166242ab9f12c311b5ac2ac7d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b644043b77b33a0065b1f0c4c8b3f64f54011c62af1b50dd793b0275e2a746",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-09-17T13:35:12Z",
    "title_canon_sha256": "bcacd945e64109c81d2a6be34eaeb0dedf015066ea6969fe8efe279a42b1f472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09271",
    "kind": "arxiv",
    "version": 1
  }
}