Pith Number

pith:YGSAYRII

pith:2010:YGSAYRIIGMI7TOP3YX6K2BIUJX

not attested not anchored not stored refs pending

On the computation of the Picard group for $K3$ surfaces

Andreas-Stephan Elsenhans, J\"org Jahnel

arxiv:1006.1724 v1 · 2010-06-09 · 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{YGSAYRIIGMI7TOP3YX6K2BIUJX}

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	2026-05-18T02:06:55.758814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a40c45083311f9b9fbc5fcad05144de5a5ccccae2146956c04e48f2890012b

Aliases

arxiv: 1006.1724 · arxiv_version: 1006.1724v1 · doi: 10.48550/arxiv.1006.1724 · pith_short_12: YGSAYRIIGMI7 · pith_short_16: YGSAYRIIGMI7TOP3 · pith_short_8: YGSAYRII

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/YGSAYRIIGMI7TOP3YX6K2BIUJX \
  | 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: c1a40c45083311f9b9fbc5fcad05144de5a5ccccae2146956c04e48f2890012b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e086372c2cd3e1849c318f31eb85479025a30b8476bf285aaec8cc389a964ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-09T07:33:06Z",
    "title_canon_sha256": "4544bca41af85242688dcf205df6be536d679ab2589b713dfe8640adadaa218d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1724",
    "kind": "arxiv",
    "version": 1
  }
}