Pith Number

pith:YJTZQPVI

pith:2010:YJTZQPVIWARFT4WSTLKJH7EQCV

not attested not anchored not stored refs pending

Dualities of artinian coalgebras with applications to noetherian complete algebras

B. Torrecillas, F. van Oystaeyen, J.-W. He, Y. Zhang

arxiv:1010.1053 v1 · 2010-10-06 · 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{YJTZQPVIWARFT4WSTLKJH7EQCV}

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	2026-05-18T04:39:49.897383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c267983ea8b02259f2d29ad493fc90157b93e6bc46e45dd50cfec96aed1cc180

Aliases

arxiv: 1010.1053 · arxiv_version: 1010.1053v1 · doi: 10.48550/arxiv.1010.1053 · pith_short_12: YJTZQPVIWARF · pith_short_16: YJTZQPVIWARFT4WS · pith_short_8: YJTZQPVI

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/YJTZQPVIWARFT4WSTLKJH7EQCV \
  | 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: c267983ea8b02259f2d29ad493fc90157b93e6bc46e45dd50cfec96aed1cc180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc161e4e1f1d34fdde4b11f454566de63cf04a271ca2770b4a87c4af411d559",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-06T03:10:17Z",
    "title_canon_sha256": "7ca8ab6c2b1d2a48227869eebe3ed977426aabba0dd4c34732a67f34a8176c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1053",
    "kind": "arxiv",
    "version": 1
  }
}