Pith Number

pith:AL4L4ZSG

pith:2024:AL4L4ZSG7EV52DO22CM2PQGCYQ

not attested not anchored not stored refs pending

Fundamental Theorems of Calculus and Zinbiel Algebras

Jean-Simon Pacaud Lemay

arxiv:2401.08223 v2 · 2024-01-16 · math.AC · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AL4L4ZSG7EV52DO22CM2PQGCYQ}

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	2026-07-05T09:59:13.959493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f8be6646f92bdd0ddad099a7c0c2c4364c9c5f830ef36f15144a757d275254

Aliases

arxiv: 2401.08223 · arxiv_version: 2401.08223v2 · doi: 10.48550/arxiv.2401.08223 · pith_short_12: AL4L4ZSG7EV5 · pith_short_16: AL4L4ZSG7EV52DO2 · pith_short_8: AL4L4ZSG

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/AL4L4ZSG7EV52DO22CM2PQGCYQ \
  | 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: 02f8be6646f92bdd0ddad099a7c0c2c4364c9c5f830ef36f15144a757d275254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbf6450f51aed8fcd79004646cc783ccc517a75dfb1237a30ce3537b2f5d1ed",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-01-16T09:18:37Z",
    "title_canon_sha256": "51abe71f0e98c9a24b400b852cae7188888615ba7c74d0e4a64e739b3047e0ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.08223",
    "kind": "arxiv",
    "version": 2
  }
}