Pith Number

pith:WMZU2HBW

pith:2018:WMZU2HBWQ7BKPPVKUD3RXZXUPM

not attested not anchored not stored refs pending

Exactness of direct limits for abelian categories with an injective cogenerator

Jan Stovicek, Leonid Positselski

arxiv:1805.05156 v3 · 2018-05-14 · 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{WMZU2HBWQ7BKPPVKUD3RXZXUPM}

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	2026-05-17T23:51:05.845525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3334d1c3687c2a7beaaa0f71be6f47b144a4d7d93b4985825ee84b93a85f13b

Aliases

arxiv: 1805.05156 · arxiv_version: 1805.05156v3 · doi: 10.48550/arxiv.1805.05156 · pith_short_12: WMZU2HBWQ7BK · pith_short_16: WMZU2HBWQ7BKPPVK · pith_short_8: WMZU2HBW

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/WMZU2HBWQ7BKPPVKUD3RXZXUPM \
  | 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: b3334d1c3687c2a7beaaa0f71be6f47b144a4d7d93b4985825ee84b93a85f13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd98039e390d8e81c00be8818f7e48cda8abe3847e73ca6a687046d62febaea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-05-14T13:16:34Z",
    "title_canon_sha256": "060679d1ac3d6024a7555174370f019cacd056ef42199fb19930256587f9c9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05156",
    "kind": "arxiv",
    "version": 3
  }
}