Pith Number

pith:I3VXNVKJ

pith:2008:I3VXNVKJMH4N4MIZXLFUR3S5NK

not attested not anchored not stored refs pending

Pre-torsors and Galois comodules over mixed distributive laws

Claudia Menini, Gabriella B\"ohm

arxiv:0806.1212 v2 · 2008-06-06 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3VXNVKJMH4N4MIZXLFUR3S5NK}

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	2026-05-18T04:03:54.843096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46eb76d54961f8de3119bacb48ee5d6a9ccb1b07c647dc03c46527a01cd15dc7

Aliases

arxiv: 0806.1212 · arxiv_version: 0806.1212v2 · doi: 10.48550/arxiv.0806.1212 · pith_short_12: I3VXNVKJMH4N · pith_short_16: I3VXNVKJMH4N4MIZ · pith_short_8: I3VXNVKJ

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/I3VXNVKJMH4N4MIZXLFUR3S5NK \
  | 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: 46eb76d54961f8de3119bacb48ee5d6a9ccb1b07c647dc03c46527a01cd15dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbe6aa3ea7be292b555148924eaac85de4f3186571916d68dd31ddc66d149aa",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-06-06T17:49:07Z",
    "title_canon_sha256": "3627c24e9d494bb586c5a869716f93e8b94554314753ae97b4c222d5854a8d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1212",
    "kind": "arxiv",
    "version": 2
  }
}