Pith Number

pith:HCLPHFMS

pith:2018:HCLPHFMSP333EKX3ZGI7VDTL6N

not attested not anchored not stored refs pending

Representations of Affine Group Schemes Over General Rings

Giulia Battiston, Matthieu Romagny (IRMAR)

arxiv:1807.01009 v3 · 2018-07-03 · 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{HCLPHFMSP333EKX3ZGI7VDTL6N}

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	2026-05-18T00:08:47.948625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3896f395927ef7b22afbc991fa8e6bf35cf838a7d5cab49ee5521b44559de889

Aliases

arxiv: 1807.01009 · arxiv_version: 1807.01009v3 · doi: 10.48550/arxiv.1807.01009 · pith_short_12: HCLPHFMSP333 · pith_short_16: HCLPHFMSP333EKX3 · pith_short_8: HCLPHFMS

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/HCLPHFMSP333EKX3ZGI7VDTL6N \
  | 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: 3896f395927ef7b22afbc991fa8e6bf35cf838a7d5cab49ee5521b44559de889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22819286aad76d6bde7c81de9962fe9418a7065cfb1d73de8e594d41ccd25091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-03T08:11:42Z",
    "title_canon_sha256": "33966b82d76227f3b481f7e04ae003dbe7851530c0a9b36074d956c538f0a165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01009",
    "kind": "arxiv",
    "version": 3
  }
}