Pith Number

pith:PKNG3QWP

pith:2016:PKNG3QWP5GOORT7NELCWOUO2MZ

not attested not anchored not stored refs pending

On some finiteness results for unramified cohomology

Igor A. Rapinchuk

arxiv:1602.04517 v1 · 2016-02-14 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKNG3QWP5GOORT7NELCWOUO2MZ}

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	2026-05-18T01:20:49.750169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9a6dc2cfe99ce8cfed22c56751da6679e384fe4e9addb21e59843a832ae266

Aliases

arxiv: 1602.04517 · arxiv_version: 1602.04517v1 · doi: 10.48550/arxiv.1602.04517 · pith_short_12: PKNG3QWP5GOO · pith_short_16: PKNG3QWP5GOORT7N · pith_short_8: PKNG3QWP

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/PKNG3QWP5GOORT7NELCWOUO2MZ \
  | 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: 7a9a6dc2cfe99ce8cfed22c56751da6679e384fe4e9addb21e59843a832ae266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f513b4e9cb2ed6c950ca7b015be3c9ce1cbcb1041b21e050d67a21c26952885",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-14T22:00:49Z",
    "title_canon_sha256": "9c35ab909bfaed78fd9c31147d04e4b291059b8eebaf9f21383357e86f39c827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04517",
    "kind": "arxiv",
    "version": 1
  }
}