Pith Number

pith:VQG6AZJC

pith:2011:VQG6AZJCP6644CVYHSLPA6TINR

not attested not anchored not stored refs pending

Quadratic equations of projective $PGL_2(\C)$-varieties

Cesar Massri

arxiv:1105.0724 v3 · 2011-05-04 · 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{VQG6AZJCP6644CVYHSLPA6TINR}

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	2026-05-18T03:29:40.931411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0de065227fbdce0ab83c96f07a686c73abbf7b65f999a316ec6f5bc3ea3131

Aliases

arxiv: 1105.0724 · arxiv_version: 1105.0724v3 · doi: 10.48550/arxiv.1105.0724 · pith_short_12: VQG6AZJCP664 · pith_short_16: VQG6AZJCP6644CVY · pith_short_8: VQG6AZJC

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/VQG6AZJCP6644CVYHSLPA6TINR \
  | 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: ac0de065227fbdce0ab83c96f07a686c73abbf7b65f999a316ec6f5bc3ea3131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb7b7b89abb33b93b653da12ea10c0832652a5971ebed14f3a47d92e835a3b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-04T02:38:57Z",
    "title_canon_sha256": "f1131d6b75e61195d4e10e3d2fb7258f79318a666ed7364d1510f8b334c7e5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0724",
    "kind": "arxiv",
    "version": 3
  }
}