Pith Number

pith:KVCNSCZB

pith:2023:KVCNSCZB2P3P4FDKO2LAOAWBNN

not attested not anchored not stored refs pending

SubalgebraBases in Macaulay2

Elise Walker, Jackson Leaman, Michael Burr, Nathan Nichols, Oliver Clarke, Timothy Duff

arxiv:2302.12473 v2 · 2023-02-24 · math.AC · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVCNSCZB2P3P4FDKO2LAOAWBNN}

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	2026-07-05T08:26:56.154767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5544d90b21d3f6fe146a76960702c16b61fc442280c7520b6f9353882b5197dc

Aliases

arxiv: 2302.12473 · arxiv_version: 2302.12473v2 · doi: 10.48550/arxiv.2302.12473 · pith_short_12: KVCNSCZB2P3P · pith_short_16: KVCNSCZB2P3P4FDK · pith_short_8: KVCNSCZB

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/KVCNSCZB2P3P4FDKO2LAOAWBNN \
  | 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: 5544d90b21d3f6fe146a76960702c16b61fc442280c7520b6f9353882b5197dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba55b9417a2d46ffd491aa7ee38a2cb191a6e4fb37604123d37497659794b1da",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-02-24T06:16:21Z",
    "title_canon_sha256": "4de13ff79225c65595c7b67eb2d63fcd3e38ec28f011556372eac85dab4e6539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.12473",
    "kind": "arxiv",
    "version": 2
  }
}