Pith Number

pith:HL52NF55

pith:2011:HL52NF55UROGAOPPAIMNGCUBBH

not attested not anchored not stored refs pending

Infinitely generated projective modules over pullbacks of rings

Dolors Herbera, Pavel Prihoda

arxiv:1105.3627 v1 · 2011-05-18 · math.RA · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HL52NF55UROGAOPPAIMNGCUBBH}

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	2026-05-18T04:21:52.238110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afba697bda45c6039ef0218d30a8109d535ed344fc7fc82d0d834564e7315b6

Aliases

arxiv: 1105.3627 · arxiv_version: 1105.3627v1 · doi: 10.48550/arxiv.1105.3627 · pith_short_12: HL52NF55UROG · pith_short_16: HL52NF55UROGAOPP · pith_short_8: HL52NF55

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/HL52NF55UROGAOPPAIMNGCUBBH \
  | 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: 3afba697bda45c6039ef0218d30a8109d535ed344fc7fc82d0d834564e7315b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f95809ed647d5b011fd7e97e6d1352159257a2791ff06db6ba61e5c0e4a76a",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-18T13:41:48Z",
    "title_canon_sha256": "dd44259d462f6799bd68445dfdcd41b33eaae69de9933cc5a8bab5123cf3f8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3627",
    "kind": "arxiv",
    "version": 1
  }
}