Pith Number

pith:V2R5W772

pith:2008:V2R5W772ILVXVZAGE4EORCYRLG

not attested not anchored not stored refs pending

Rigid local systems and potential automorphy: The $G_2$-case

Michael Dettweiler

arxiv:0810.3335 v2 · 2008-10-18 · 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{V2R5W772ILVXVZAGE4EORCYRLG}

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	2026-05-18T04:27:47.973758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea3db7ffa42eb7ae4062708e88b11599d9d29bf9017f62bd3298e7f42365fb9

Aliases

arxiv: 0810.3335 · arxiv_version: 0810.3335v2 · doi: 10.48550/arxiv.0810.3335 · pith_short_12: V2R5W772ILVX · pith_short_16: V2R5W772ILVXVZAG · pith_short_8: V2R5W772

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/V2R5W772ILVXVZAGE4EORCYRLG \
  | 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: aea3db7ffa42eb7ae4062708e88b11599d9d29bf9017f62bd3298e7f42365fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ca4ecd2dd378a43c3b047cdb5c3231baae86e9dd98fbb07f89353708abb170",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-18T19:06:09Z",
    "title_canon_sha256": "8857910261115930ba5a67c65ab0117c92975e2c18435b93a1919c87a06106be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3335",
    "kind": "arxiv",
    "version": 2
  }
}