Pith Number

pith:Q25PVVR2

pith:2023:Q25PVVR2BO6BX63AAB4OQU3YCY

not attested not anchored not stored refs pending

$\mathbb{A}^1$-Brouwer degrees in Macaulay2

Andrew R. Tawfeek, Frenly Espino, Joel Louwsma, Jordy Lopez Garcia, Nikita Borisov, Thomas Brazelton, Thomas Hagedorn, Wern Juin Gabriel Ong, Zhaobo Han

arxiv:2312.00106 v2 · 2023-11-30 · math.AG · math.AC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q25PVVR2BO6BX63AAB4OQU3YCY}

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	2026-07-05T09:50:29.765101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86bafad63a0bbc1bfb600078e8537816077ef49b953ca492db902a685f2dadb3

Aliases

arxiv: 2312.00106 · arxiv_version: 2312.00106v2 · doi: 10.48550/arxiv.2312.00106 · pith_short_12: Q25PVVR2BO6B · pith_short_16: Q25PVVR2BO6BX63A · pith_short_8: Q25PVVR2

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/Q25PVVR2BO6BX63AAB4OQU3YCY \
  | 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: 86bafad63a0bbc1bfb600078e8537816077ef49b953ca492db902a685f2dadb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecd9bfbe5fd37110a718ef2ef1d271adb43938145d4cfb2f946f16763de2eec",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-30T17:23:05Z",
    "title_canon_sha256": "1102d49d538a0a074b4f2d9decc79f4c0bebe925cfb9f8c05be6c80f70db8c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.00106",
    "kind": "arxiv",
    "version": 2
  }
}