Pith Number

pith:FRTONOPE

pith:2011:FRTONOPEVEE2AOMG3UIN7PMYKI

not attested not anchored not stored refs pending

On the canonical map of surfaces with q>=6

Gian Pietro Pirola, Margarida Mendes Lopes, Rita Pardini

arxiv:1102.0787 v2 · 2011-02-03 · 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{FRTONOPEVEE2AOMG3UIN7PMYKI}

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	2026-05-18T02:03:16.973505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c66e6b9e4a909a03986dd10dfbd9852212ae63065cc7f6a44caf8f8811b55a2

Aliases

arxiv: 1102.0787 · arxiv_version: 1102.0787v2 · doi: 10.48550/arxiv.1102.0787 · pith_short_12: FRTONOPEVEE2 · pith_short_16: FRTONOPEVEE2AOMG · pith_short_8: FRTONOPE

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/FRTONOPEVEE2AOMG3UIN7PMYKI \
  | 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: 2c66e6b9e4a909a03986dd10dfbd9852212ae63065cc7f6a44caf8f8811b55a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ef7c3dda5d211b5105f1f9707dbfd4f0c3b88ed582ef284f9f1c45bd584264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-03T21:13:43Z",
    "title_canon_sha256": "f4aeee056cb79b6c34cd9dd6673b86559f96d641c4baf71b6839b0d5abb99758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0787",
    "kind": "arxiv",
    "version": 2
  }
}