Pith Number

pith:DNCBXC2B

pith:2011:DNCBXC2B7DW5LCWFPCKQFFQMNP

not attested not anchored not stored refs pending

Rank two quadratic pairs and surface group representations

Andr\'e Oliveira, Peter B. Gothen

arxiv:1106.1766 v1 · 2011-06-09 · 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{DNCBXC2B7DW5LCWFPCKQFFQMNP}

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	2026-05-18T02:40:02.435984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b441b8b41f8edd58ac5789502960c6bf69e68afdedc7d1fa7a99be8abcdbccb

Aliases

arxiv: 1106.1766 · arxiv_version: 1106.1766v1 · doi: 10.48550/arxiv.1106.1766 · pith_short_12: DNCBXC2B7DW5 · pith_short_16: DNCBXC2B7DW5LCWF · pith_short_8: DNCBXC2B

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/DNCBXC2B7DW5LCWFPCKQFFQMNP \
  | 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: 1b441b8b41f8edd58ac5789502960c6bf69e68afdedc7d1fa7a99be8abcdbccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f67a98791e7505a1169a2ab8d6ecb6df3de8b9919d7ff3f7775c47937682c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-09T10:14:31Z",
    "title_canon_sha256": "056749099cc7f0ae14d74b029b0dcae6039745ff89882a3a5a79cda9c3eecbc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1766",
    "kind": "arxiv",
    "version": 1
  }
}