Pith Number

pith:5BPRY2RT

pith:2013:5BPRY2RTRZVLSTFADCIXB33WEM

not attested not anchored not stored refs pending

The pro-\'etale topology for schemes

Bhargav Bhatt, Peter Scholze

arxiv:1309.1198 v2 · 2013-09-04 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BPRY2RTRZVLSTFADCIXB33WEM}

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.

Cited by

1 paper in Pith

Homomorphisms of topological rings and change-of-scalar functors

Receipt and verification

First computed	2026-05-18T02:31:04.072237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85f1c6a338e6ab94ca0189170ef7623374053eed1bb8d146b5d811be9f6df96

Aliases

arxiv: 1309.1198 · arxiv_version: 1309.1198v2 · doi: 10.48550/arxiv.1309.1198 · pith_short_12: 5BPRY2RTRZVL · pith_short_16: 5BPRY2RTRZVLSTFA · pith_short_8: 5BPRY2RT

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/5BPRY2RTRZVLSTFADCIXB33WEM \
  | 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: e85f1c6a338e6ab94ca0189170ef7623374053eed1bb8d146b5d811be9f6df96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ece64ffd388484cdad298229bd325ae16d20fa7adca6992b0ac6706967dda2b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-04T22:22:25Z",
    "title_canon_sha256": "e86505ae031cf7b7f38466d986eb759a1479ab81912fcd74381e5dd73f0e7cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1198",
    "kind": "arxiv",
    "version": 2
  }
}