Pith Number

pith:G5LQZYWC

pith:2013:G5LQZYWCAB3DG3VVXVPBJLMOR3

not attested not anchored not stored refs pending

The classifying topos of a group scheme and invariants of symmetric bundles

Baptiste Morin, Martin J. Taylor, Philippe Cassou-Nogu\`es, Ted Chinburg

arxiv:1301.4928 v1 · 2013-01-21 · 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{G5LQZYWCAB3DG3VVXVPBJLMOR3}

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	2026-05-18T00:44:30.097122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37570ce2c20076336eb5bd5e14ad8e8ef46fcf5233d27769f0f97686b75c5dc7

Aliases

arxiv: 1301.4928 · arxiv_version: 1301.4928v1 · doi: 10.48550/arxiv.1301.4928 · pith_short_12: G5LQZYWCAB3D · pith_short_16: G5LQZYWCAB3DG3VV · pith_short_8: G5LQZYWC

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/G5LQZYWCAB3DG3VVXVPBJLMOR3 \
  | 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: 37570ce2c20076336eb5bd5e14ad8e8ef46fcf5233d27769f0f97686b75c5dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04c5a8afd7b9b7af6fb6accd25a57d7e9ad3247871fed531cec5ee871da3ee4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-21T17:10:34Z",
    "title_canon_sha256": "0f97c27da21e6e10152c7bd206b2da1d27fe9cf89b05c1378f287f6d7da68f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4928",
    "kind": "arxiv",
    "version": 1
  }
}