Pith Number

pith:MVQU77WP

pith:2001:MVQU77WPDB66NKIKQWEJ4CGJVC

not attested not anchored not stored refs pending

Extensions and Pullbacks in QB-rings

Francesc Perera, Gert K. Pedersen, Pere Ara

arxiv:math/0107104 v1 · 2001-07-13 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVQU77WPDB66NKIKQWEJ4CGJVC}

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	2026-07-04T14:35:26.025690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65614ffecf187de6a90a85889e08c9a8a91e857bc396fdd79c028025f0a286be

Aliases

arxiv: math/0107104 · arxiv_version: math/0107104v1 · doi: 10.48550/arxiv.math/0107104 · pith_short_12: MVQU77WPDB66 · pith_short_16: MVQU77WPDB66NKIK · pith_short_8: MVQU77WP

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/MVQU77WPDB66NKIKQWEJ4CGJVC \
  | 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: 65614ffecf187de6a90a85889e08c9a8a91e857bc396fdd79c028025f0a286be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0c79113965a836a32835fb84af8b76f332db2e5d50a257f36b315de09de55c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2001-07-13T10:52:21Z",
    "title_canon_sha256": "68d466ae0184c597e8b078c857e298adf0285b71740d1b2458c2a0b45e15989b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107104",
    "kind": "arxiv",
    "version": 1
  }
}