Pith Number

pith:3ZYTGYTV

pith:2023:3ZYTGYTV7UQZ32TYXHECHE7HVL

not attested not anchored not stored refs pending

Differential Bundles in Commutative Algebra and Algebraic Geometry

G.S.H. Cruttwell, Jean-Simon Pacaud Lemay

arxiv:2301.05542 v3 · 2023-01-13 · 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{3ZYTGYTV7UQZ32TYXHECHE7HVL}

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	2026-07-05T07:25:21.902037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de71336275fd219dea78b9c82393e7aad927e664483df1c18f4b655afc271206

Aliases

arxiv: 2301.05542 · arxiv_version: 2301.05542v3 · doi: 10.48550/arxiv.2301.05542 · pith_short_12: 3ZYTGYTV7UQZ · pith_short_16: 3ZYTGYTV7UQZ32TY · pith_short_8: 3ZYTGYTV

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/3ZYTGYTV7UQZ32TYXHECHE7HVL \
  | 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: de71336275fd219dea78b9c82393e7aad927e664483df1c18f4b655afc271206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a59af5ce959695309acc6aa3da9a6a7c4e43184662931978b1483bdea2a8341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-01-13T13:39:55Z",
    "title_canon_sha256": "3e4aa099feae362571fc2e9325102bb8c7ecfd6018951fffcf39db7dde573bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05542",
    "kind": "arxiv",
    "version": 3
  }
}