Pith Number

pith:NJ72TA44

pith:2026:NJ72TA4432AWXEYETFSW2UKV7W

not attested not anchored not stored refs pending

Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves

Moritz Hartlieb, Weite Pi

arxiv:2606.11842 v1 · 2026-06-10 · 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{NJ72TA4432AWXEYETFSW2UKV7W}

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	2026-06-11T01:10:11.219731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7fa9839cde816b930499656d5155fda8cb4040e79013c5e2faeacb15e6e026

Aliases

arxiv: 2606.11842 · arxiv_version: 2606.11842v1 · doi: 10.48550/arxiv.2606.11842 · pith_short_12: NJ72TA4432AW · pith_short_16: NJ72TA4432AWXEYE · pith_short_8: NJ72TA44

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/NJ72TA4432AWXEYETFSW2UKV7W \
  | 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: 6a7fa9839cde816b930499656d5155fda8cb4040e79013c5e2faeacb15e6e026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597a8644bd5892c64a7df64117a69ecb1d91d64242bf79436e27e6fb6f1032d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-10T09:20:55Z",
    "title_canon_sha256": "c8fa3e0251b09cc4fbe606321d7d03735c6c6571a1e699a1a834170391e122dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11842",
    "kind": "arxiv",
    "version": 1
  }
}