Pith Number

pith:VSHEAERG

pith:2022:VSHEAERGCE44VCNCRVQUXJV646

not attested not anchored not stored refs pending

Cauchy Completeness, Lax Epimorphisms and Effective Descent for Split Fibrations

Fernando Lucatelli Nunes, Lurdes Sousa, Rui Prezado

arxiv:2210.12021 v2 · 2022-10-21 · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSHEAERGCE44VCNCRVQUXJV646}

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	2026-07-05T07:11:12.932474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8e4012261139ca89a28d614ba6bee79c117b09efc277681347bbbb524e9c17

Aliases

arxiv: 2210.12021 · arxiv_version: 2210.12021v2 · doi: 10.48550/arxiv.2210.12021 · pith_short_12: VSHEAERGCE44 · pith_short_16: VSHEAERGCE44VCNC · pith_short_8: VSHEAERG

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/VSHEAERGCE44VCNCRVQUXJV646 \
  | 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: ac8e4012261139ca89a28d614ba6bee79c117b09efc277681347bbbb524e9c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72004b10e29bb1e8626fba8d876b15dd9c0a5a637a7319696be6360d562cfd21",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-10-21T15:09:04Z",
    "title_canon_sha256": "95b974dab0723c3a6b917af4a8ed320336efbd331debafed38864e0cd19082eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.12021",
    "kind": "arxiv",
    "version": 2
  }
}