Pith Number

pith:2JPJ7X3N

pith:2025:2JPJ7X3NE3I2ZMV4ASCON5HFTA

not attested not anchored not stored refs pending

The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties

Federico Campanini, Laura Cossu, Salvatore Tringali

arxiv:2502.06610 v1 · 2025-02-10 · math.RA · 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{2JPJ7X3NE3I2ZMV4ASCON5HFTA}

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	2026-07-05T10:12:09.472352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25e9fdf6d26d1acb2bc0484e6f4e5981925d0219feb3b423bef8aacfa568b1d

Aliases

arxiv: 2502.06610 · arxiv_version: 2502.06610v1 · doi: 10.48550/arxiv.2502.06610 · pith_short_12: 2JPJ7X3NE3I2 · pith_short_16: 2JPJ7X3NE3I2ZMV4 · pith_short_8: 2JPJ7X3N

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/2JPJ7X3NE3I2ZMV4ASCON5HFTA \
  | 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: d25e9fdf6d26d1acb2bc0484e6f4e5981925d0219feb3b423bef8aacfa568b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ad7b48451f6de415a9212c8cc91ba66cbb3a72f68d6f1d660eb5982301a3aa",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-02-10T16:08:04Z",
    "title_canon_sha256": "26fba7c6dfb4498e93d9dbdf775c81e815b891ca99791a685dfed3d8b7e8cca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06610",
    "kind": "arxiv",
    "version": 1
  }
}