Pith Number

pith:TPC4FSD6

pith:2011:TPC4FSD66Q7FF4UBO3UOWJPMZC

not attested not anchored not stored refs pending

Higher rank stable pairs on K3 surfaces

Andrei Jorza, Benjamin Bakker

arxiv:1103.3727 v5 · 2011-03-18 · math.AG · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPC4FSD66Q7FF4UBO3UOWJPMZC}

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	2026-05-18T03:15:45.654442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc5c2c87ef43e52f28176e8eb25ecc8a5c63ae935f79499a39ed758e52be699

Aliases

arxiv: 1103.3727 · arxiv_version: 1103.3727v5 · doi: 10.48550/arxiv.1103.3727 · pith_short_12: TPC4FSD66Q7F · pith_short_16: TPC4FSD66Q7FF4UB · pith_short_8: TPC4FSD6

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/TPC4FSD66Q7FF4UBO3UOWJPMZC \
  | 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: 9bc5c2c87ef43e52f28176e8eb25ecc8a5c63ae935f79499a39ed758e52be699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8169dba12a8fb5ad0832df02277c36fdfb191b2973a367df6f79dbf7bcb20246",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-18T23:16:50Z",
    "title_canon_sha256": "3bb6a9a0a38dad025988acb0b30a4dbeba92191df3dd2393825d13d9b6824a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3727",
    "kind": "arxiv",
    "version": 5
  }
}