Pith Number

pith:ROI5BQWP

pith:2019:ROI5BQWPOYD7LSQCWRMKGYWNY5

not attested not anchored not stored refs pending

The Carlitz Logarithm as a Period Morphism for Local $G$-Shtukas

Paul Breutmann

arxiv:1907.06456 v1 · 2019-07-15 · 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{ROI5BQWPOYD7LSQCWRMKGYWNY5}

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	2026-05-17T23:40:37.607036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b91d0c2cf7607f5ca02b458a362cdc75f29ee46105ad9ca851e06f2be470124

Aliases

arxiv: 1907.06456 · arxiv_version: 1907.06456v1 · doi: 10.48550/arxiv.1907.06456 · pith_short_12: ROI5BQWPOYD7 · pith_short_16: ROI5BQWPOYD7LSQC · pith_short_8: ROI5BQWP

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/ROI5BQWPOYD7LSQCWRMKGYWNY5 \
  | 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: 8b91d0c2cf7607f5ca02b458a362cdc75f29ee46105ad9ca851e06f2be470124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85436c71a9c768c9782f1a0923ee9a2a741e1586c0a50aaa59331f7a8b87d2dc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-15T12:08:39Z",
    "title_canon_sha256": "cc0d77d3cc371bdb4fe50c024982bb8183b8a258483f5316f2d86fc08137819b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06456",
    "kind": "arxiv",
    "version": 1
  }
}