Pith Number

pith:4FYEOLOK

pith:2019:4FYEOLOK5O45EMMORQWU3UGRW5

not attested not anchored not stored refs pending

Universal sets for ideals

Aleksander Cie\'slak, Marcin Michalski

arxiv:1907.08323 v1 · 2019-07-19 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FYEOLOK5O45EMMORQWU3UGRW5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:40:10.226753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e170472dcaebb9d2318e8c2d4dd0d1b77ffeb98b5192f351a6258ffe3be3eb0a

Aliases

arxiv: 1907.08323 · arxiv_version: 1907.08323v1 · doi: 10.48550/arxiv.1907.08323 · pith_short_12: 4FYEOLOK5O45 · pith_short_16: 4FYEOLOK5O45EMMO · pith_short_8: 4FYEOLOK

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/4FYEOLOK5O45EMMORQWU3UGRW5 \
  | 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: e170472dcaebb9d2318e8c2d4dd0d1b77ffeb98b5192f351a6258ffe3be3eb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a00cb2bc47b6b5724d47c6f04e45b9ed43e0740bb053d8b96b5517854ce2f23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-07-19T00:17:18Z",
    "title_canon_sha256": "52e9e33b84b404dfb3885d8e4ab1867744ecd2a256f6615680dadc53f2a9b60f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08323",
    "kind": "arxiv",
    "version": 1
  }
}