Pith Number

pith:4QJ7LNI4

pith:2019:4QJ7LNI4LGTY2M4ZM3MWQEBO4R

not attested not anchored not stored refs pending

Purity for flat cohomology

Kestutis Cesnavicius, Peter Scholze

arxiv:1912.10932 v3 · 2019-12-23 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QJ7LNI4LGTY2M4ZM3MWQEBO4R}

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

4 papers in Pith

The Categorical Local Langlands Correspondence and Anabelomorphy

Compact sheaves on a locally compact space

Lectures on algebraic stacks

Lectures on Analytic Geometry

Receipt and verification

First computed	2026-07-05T06:04:31.448436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e413f5b51c59a78d339966d968102ee462c49896303cdce2d1bf1c5e0f34abdb

Aliases

arxiv: 1912.10932 · arxiv_version: 1912.10932v3 · doi: 10.48550/arxiv.1912.10932 · pith_short_12: 4QJ7LNI4LGTY · pith_short_16: 4QJ7LNI4LGTY2M4Z · pith_short_8: 4QJ7LNI4

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/4QJ7LNI4LGTY2M4ZM3MWQEBO4R \
  | 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: e413f5b51c59a78d339966d968102ee462c49896303cdce2d1bf1c5e0f34abdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28fbab9eb7b29fa0cc0611898162c48931b587cd8a73be01a3069582fe6fe1d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-12-23T15:47:43Z",
    "title_canon_sha256": "bd7cf1bd0c4298699f7a4fdb94d82d1340389fe16edf59cfee96a3ca420a056a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10932",
    "kind": "arxiv",
    "version": 3
  }
}