Pith Number

pith:TMZ44I75

pith:2019:TMZ44I75Q3AGP6GQZCDYCVRTKY

not attested not anchored not stored refs pending

Homomorphisms Between Rings with Infinitesimals and Infinitesimal Comparisons

Emanuele Bottazzi

arxiv:1902.06076 v2 · 2019-02-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMZ44I75Q3AGP6GQZCDYCVRTKY}

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	2026-05-17T23:44:07.150063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b33ce23fd86c067f8d0c8878156335608947edccd33711a2dfffeb3c519b574

Aliases

arxiv: 1902.06076 · arxiv_version: 1902.06076v2 · doi: 10.48550/arxiv.1902.06076 · pith_short_12: TMZ44I75Q3AG · pith_short_16: TMZ44I75Q3AGP6GQ · pith_short_8: TMZ44I75

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/TMZ44I75Q3AGP6GQZCDYCVRTKY \
  | 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: 9b33ce23fd86c067f8d0c8878156335608947edccd33711a2dfffeb3c519b574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8be5a10d2dd8a74ed19a8a2f255a866d79dc44adb84fda0c6ceee105180cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-02-16T09:45:43Z",
    "title_canon_sha256": "8cc809da5bbcd5e9596abe8a5cca65c93e42dc848a5c6f665d0696570ee2abca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06076",
    "kind": "arxiv",
    "version": 2
  }
}