Pith Number

pith:2SN2Q7GN

pith:2019:2SN2Q7GNY4WU2CY2RA3JBBPAIV

not attested not anchored not stored refs pending

The matched product of set-theoretical solutions associated with shelves

Francesco Catino, Ilaria Colazzo, Paola Stefanelli

arxiv:1907.11890 v1 · 2019-07-27 · 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{2SN2Q7GNY4WU2CY2RA3JBBPAIV}

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	2026-05-17T23:39:22.661820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49ba87ccdc72d4d0b1a88369085e0455926b14016a8e747e612db62b8eb0194

Aliases

arxiv: 1907.11890 · arxiv_version: 1907.11890v1 · doi: 10.48550/arxiv.1907.11890 · pith_short_12: 2SN2Q7GNY4WU · pith_short_16: 2SN2Q7GNY4WU2CY2 · pith_short_8: 2SN2Q7GN

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/2SN2Q7GNY4WU2CY2RA3JBBPAIV \
  | 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: d49ba87ccdc72d4d0b1a88369085e0455926b14016a8e747e612db62b8eb0194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bacef4ed06297e5fa88da1d7c2a9c015b132d857028cea40e66fdcb0a96e4112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-07-27T10:27:27Z",
    "title_canon_sha256": "545714f67ac42bb2fec6ab33a8010a198e849eefa4a9b78852858cb68025aedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11890",
    "kind": "arxiv",
    "version": 1
  }
}