Pith Number

pith:7KRORQO5

pith:2015:7KRORQO5XU66NDDSZE7IKJWXHC

not attested not anchored not stored refs pending

Finiteness conditions and cotorsion pairs

Daniel Bravo, Marco A. P\'erez

arxiv:1510.08966 v1 · 2015-10-30 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KRORQO5XU66NDDSZE7IKJWXHC}

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	2026-05-18T00:36:10.039655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa2e8c1ddbd3de68c72c93e8526d738a244bc24f40e086c508c85a4836b55b7

Aliases

arxiv: 1510.08966 · arxiv_version: 1510.08966v1 · doi: 10.48550/arxiv.1510.08966 · pith_short_12: 7KRORQO5XU66 · pith_short_16: 7KRORQO5XU66NDDS · pith_short_8: 7KRORQO5

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/7KRORQO5XU66NDDSZE7IKJWXHC \
  | 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: faa2e8c1ddbd3de68c72c93e8526d738a244bc24f40e086c508c85a4836b55b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda7f3628988247316a41753b8b3513ec95096ba87848c362111424bc8d082b7",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-30T04:09:10Z",
    "title_canon_sha256": "d17979f26dc3b877f036ee761f1a8e550a9867856a13538e72fc8fa3c759fbfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08966",
    "kind": "arxiv",
    "version": 1
  }
}