Pith Number

pith:C42BLIBV

pith:2023:C42BLIBVVS365DR22PMHRTVEZS

not attested not anchored not stored refs pending

K-flatness in Grothendieck categories: Application to quasi-coherent sheaves

James Gillespie, Sergio Estrada, Sinem Odaba\c{s}{\i}

arxiv:2306.04816 v1 · 2023-06-07 · math.AG · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C42BLIBVVS365DR22PMHRTVEZS}

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	2026-07-05T06:18:42.344387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

173415a035acb7ee8e3ad3d878cea4cc95864d0691cdf8a3adea1fc62a82e680

Aliases

arxiv: 2306.04816 · arxiv_version: 2306.04816v1 · doi: 10.48550/arxiv.2306.04816 · pith_short_12: C42BLIBVVS36 · pith_short_16: C42BLIBVVS365DR2 · pith_short_8: C42BLIBV

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/C42BLIBVVS365DR22PMHRTVEZS \
  | 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: 173415a035acb7ee8e3ad3d878cea4cc95864d0691cdf8a3adea1fc62a82e680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93909ef9b0e00999a34f9ffc21616b818e15179c61ca8ba1368219bc8001737e",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-06-07T22:40:22Z",
    "title_canon_sha256": "a9f20acd0257a04799f4b28470a61f7d32f34f69d7eb8983de1d235c4082bb69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04816",
    "kind": "arxiv",
    "version": 1
  }
}