Pith Number

pith:6BYSRNFL

pith:2011:6BYSRNFLFX5P7IGR4ATGL6SHRB

not attested not anchored not stored refs pending

Twisted Kodaira-Spencer classes and the geometry of surfaces of general type

Daniel Naie, Igor Reider

arxiv:1109.1189 v2 · 2011-09-06 · 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{6BYSRNFLFX5P7IGR4ATGL6SHRB}

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	2026-05-18T04:07:53.819079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07128b4ab2dfaffa0d1e02665fa47886a6903aa171b6fae6adf47700bdafcc3

Aliases

arxiv: 1109.1189 · arxiv_version: 1109.1189v2 · doi: 10.48550/arxiv.1109.1189 · pith_short_12: 6BYSRNFLFX5P · pith_short_16: 6BYSRNFLFX5P7IGR · pith_short_8: 6BYSRNFL

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/6BYSRNFLFX5P7IGR4ATGL6SHRB \
  | 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: f07128b4ab2dfaffa0d1e02665fa47886a6903aa171b6fae6adf47700bdafcc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea2a58c137af32102971f6c787b6eeea4c3e36fac1359390cae21cf16c7fa3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-06T13:58:02Z",
    "title_canon_sha256": "d8f9b87e921e1c0059adbaa58d0c4ee64b46e2fe66f2c2dc5d0ddeaabe3cc0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1189",
    "kind": "arxiv",
    "version": 2
  }
}